The Journal of high energy physics/The journal of high energy physics, May 24, 2024
By using the notion of fractional derivatives, we introduce a class of massless Lifshitz scalar f... more By using the notion of fractional derivatives, we introduce a class of massless Lifshitz scalar field theory in (1+1)-dimension with an arbitrary anisotropy index z. The Lifshitz scale invariant ground state of the theory is constructed explicitly and takes the form of Rokhsar-Kivelson (RK). We show that there is a continuous family of ground states with degeneracy parameterized by the choice of solution to the equation of motion of an auxiliary classical system. The quantum mechanical path integral establishes a 2d/1d correspondence with the equal time correlation functions of the Lifshitz scalar field theory. We study the entanglement properties of the Lifshitz theory for arbitrary z using the path integral representation. The entanglement measures are expressed in terms of certain cross ratio functions we specify, and satisfy the c-function monotonicity theorems. We also consider the holographic description of the Lifshitz theory. In order to match with the field theory result for the entanglement entropy, we propose a z-dependent radius scale for the Lifshitz background. This relation is consistent with the z-dependent scaling symmetry respected by the Lifshitz vacuum. Furthermore, the time-like entanglement entropy is determined using holography. Our result suggests that there should exist a fundamental definition of time-like entanglement other than employing analytic continuation as performed in relativistic field theory.
We show that when an external magnetic field parallel to the boundary is applied, Weyl anomaly gi... more We show that when an external magnetic field parallel to the boundary is applied, Weyl anomaly give rises to a new anomalous current in the vicinity of the boundary. The induced current is a magnetization current in origin: the movement of the virtual charges near the boundary give rise to a non-uniform magnetization of the vacuum and hence a magnetization current. Unlike other previous studied anomalous current phenomena such as the chiral magnetic effect or the chiral vortical effect, this induced current does not rely on the presence of a material system and can occur in vacuum. Similar to the Casimir effect, our discovered phenomena arises from the effect of the boundary on the quantum fluctuations of the vacuum. However this induced current is pure quantum mechanical and has no classical limit. We briefly comment on how this induced current may be observed experimentally.
ABSTRACT The logarithmic perturbation theory is modified slightly in order to deal with excited s... more ABSTRACT The logarithmic perturbation theory is modified slightly in order to deal with excited states. Instead of considering a real wavefunction describing the physical stationary state, the authors consider a complex wavefunction at the same energy, by mixing in the ghost state. For excited bound states, the former has nodes, while the latter is guaranteed not to have any nodes, and can be represented simply as exp(-G), to which the logarithmic perturbation method can be applied in a straightforward manner. The physical entities (the energy corrections) are independent of the amount of mixing of the ghost state. The connection to the Green function method is also shown. The freedom to mix in the ghost state allows the authors to justify an ad hoc approach whereby the simple version of the logarithmic perturbation theory is applied to excited bound states. The formalism is illustrated with simple examples.
We consider a hydrogenic system with a nucleus of finite mass. The coupling of the radiation fiel... more We consider a hydrogenic system with a nucleus of finite mass. The coupling of the radiation field to the center of mass motion gives rise to an effective scalar type coupling. This induced scalar photon interaction emerges as a correction in competition with the usual multipole interactions. This effect is particularly important in positronium where the electric quadrupole interaction is totally suppressed. We illustrate this effect with the two-photon decay of metastable hydrogenic systems.
Torsion can be realized as dislocation in the crystal lattice of material. It is particularly int... more Torsion can be realized as dislocation in the crystal lattice of material. It is particularly interesting if the material has fermions in the spectrum, such as graphene, topological insulators, Dirac and Weyl semimetals, as it's transport properties can be affected by the torsion. In this letter, we find that, due to Weyl anomaly, torsion in Dirac and Weyl semimetals can induce novel chiral currents, either near a boundary or in a "conformally flat space". We briefly discuss how to measure this interesting effect in experiment. It is remarkable that these experiments can help to clarify the theoretical controversy of whether an imaginary Pontryagin density could appear in the Weyl anomaly.
We propose that the quantum states of black hole responsible for the Bekenstein-Hawking entropy a... more We propose that the quantum states of black hole responsible for the Bekenstein-Hawking entropy are given by a thin shell of Bell particles located at the region just underneath the horizon. We argue that the configuration can be stabilized by a new kind of degeneracy pressure which is suggested by noncommutative geometry. We utilize the work of Parikh and Wilczek [2] to include the effect of tunneling on the Bell particles. We show that partially tunneled Bell particles give the Page curve for the Hawking radiation, and the entirety of information initially stored in the black hole is returned to the outside via the Hawking radiation. In view of entropic force, the location of these Bell states is naturally related to the island and the quantum extremal surface. Also, the thin shell of Bell particles may be interpreted as a firewall.
ABSTRACT A hierarchical scheme expresses the phase shift, order by order, in terms of quadrature.... more ABSTRACT A hierarchical scheme expresses the phase shift, order by order, in terms of quadrature. An important advantage is the freedom to choose the unperturbed system, for example, as a piece-wise constant potential, making the remaining correction small, especially if the unperturbed potential has the right number of bound states. Unitary is maintained order by order.
Torsion can be realized as dislocation in the crystal lattice of material. It is particularly int... more Torsion can be realized as dislocation in the crystal lattice of material. It is particularly interesting if the material has fermions in the spectrum, such as graphene, topological insulators, Dirac and Weyl semimetals, as it's transport properties can be affected by the torsion. In this letter, we find that, due to Weyl anomaly, torsion in Dirac and Weyl semimetals can induce novel chiral currents, either near a boundary or in a "conformally flat space". We briefly discuss how to measure this interesting effect in experiment. It is remarkable that these experiments can help to clarify the theoretical controversy of whether an imaginary Pontryagin density could appear in the Weyl anomaly.
One of the most important questions in the Bagger-Lambert-Gustavsson (BLG) theory of multiple M2-... more One of the most important questions in the Bagger-Lambert-Gustavsson (BLG) theory of multiple M2-branes is the choice of the Lie 3-algebra. The Lie 3algebra should be chosen such that the corresponding BLG model is unitary and admits fuzzy 3-sphere as a solution. In this paper we propose a new condition: the Lie 3algebras of use must be connected to the semisimple Lie algebras describing the gauge symmetry of D-branes via a certain reduction condition. We show that this reduction condition leads to a natural generalization of the Cartan-Weyl 3-algebras introduced in [1]. Similar to a Cartan-Weyl 3-algebra, a generalized Cartan-Weyl 3-algebra processes a set of step generators characterized by non-degenerate roots. However, its Cartan subalgebra is non-abelian in general. We give reasons why having a non-abelian Cartan subalgebra may be just right to allow for fuzzy 3-sphere solution in the corresponding BLG models. We propose that generalized Cartan-Weyl 3-algebras is the right class of metric Lie 3-algebras to be used in the BLG theory.
ABSTRACT The work [C. S. Chu and P. M. Ho, hep-th/0602054] on time-dependent AdS/CFT corresponden... more ABSTRACT The work [C. S. Chu and P. M. Ho, hep-th/0602054] on time-dependent AdS/CFT correspondence is reviewed. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also constructed explicitly and is given by a time-dependent supersymmetric Yang-Mills theory. We find that the two-point function computed by using duality is different from that by doing a direct field theory computation. In particular the spacetime singularity is not seen in the gauge description, suggesting that the spacetime singularity may be resolved in quantum gravity.
We consider general BPS Wilson loop operators in the N=1 beta-deformed supersymmetric Yang-Mills ... more We consider general BPS Wilson loop operators in the N=1 beta-deformed supersymmetric Yang-Mills theory and derive the boundary condition satisfied by the dual string worldsheet. The boundary condition is found to be deformed and is characterized by the vielbein of the ...
We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal f... more We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal field theory (BCFT) both from the field theory and holographic point of view. In field theory, we compute the time-like entanglement entropy of a pure time-like interval at zero and finite temperature using the replica technique and analytical continuation. We find that, similar to the ordinary space-like entanglement entropy in BCFT, the time-like entropy also has a bulk phase and a boundary phase which corresponds respectively to the dominance of the identity block in the bulk and boundary OPE channels. However, we find that in Lorentzian BCFT, the time-like entanglement entropy posses a third Regge phase which arises in the Regge limit of the interval, when one endpoint of the time interval approaches the light cone of the mirror image of the other endpoint. We determine the phase diagram for the time-like entanglement entropy. We find that while the time-like entropy is complex in the...
The main subject of this thesis is the geometry of quantum groups and quantum spaces. The main to... more The main subject of this thesis is the geometry of quantum groups and quantum spaces. The main tool used is the Faddeev-Reshetikhin-Takhtajan description of quantum groups. A few content-rich examples of quantum complex spaces with quantum group symmetry are treated in details. In chapter 1, we review some of the basic concepts and notions for Hop£ algebras and other background materials. In chapter 2, we study the vector fields of quantum groups. A compact realization of these vector fields as pseudodifferential operators acting on the linear quantum spaces is given. In chapte1• 3, we describe the quantum sphere as a complex quantum manifold by means of a quantum stereographic projection. A covariant calculus is introduced. An interesting property of this c&!culus is the existence of a one-form realization of the exterior differential operator. The concept of a braided comodule is introduced and a braided algebra of quantum spheres is constructed. In chapter 4, we consider the more general higher dimensional quantum complex projective spaces and the quantum Grassman manifolds. Differential calculus, integration and braiding can be introduced as in the one dimensional case. A sufficient condition for the existence of a one-form realization of the exterior differential operators 6, 6 is given and is applied to the case of complex projective spaces and quantum Grassmannians. FinaHy, in chapter 5, we study the framework of quantum principal bundle and construct the q-deformed Dirac monopole as a quantum principal bundle with a quantum sphere as the b.ase and a U(l) with non-commutative calculus as the fiber. The first Chern class can be introduced and integrated to give the monopole charge. Disclaimer Thlo document wu prep....,d u an account of work opo1110red by the United Stateo Government. While thlo document Ia believed to contain COrt'OCt information, neither the United States Government nor any asency thereof, nor The Resento of the Univenlty of California, nor any of their employeeo, makeo any warranty, expreu or implied, or uownes any lesalliability or reoponoibility for the accuracy, completen-, or uaefuln ... of any Information, apparatua, product, or proceso dioclooed, or representa that ito uae would notlnfrinae privately owned rishto. Reference herein to any opecilic commercial product• proc ... , or oervlce by Ito trade name, trademark, manufacturer, or otherwise, does not neceuarily conatitute or imply Jte endonement, recommendation, or favor• ins by the United Stat.ee Government or any as;ency thereof, or The Resent• or the Unlveraity or California. The viewo and opinlono or authon expreued herein do not neceuarily alate or reflect thooe or the United Stateo Government or any asency thereof, or The Resent• of the Univenity or California.
If supersymmetry is broken in metastable vacua, it is not clear why we are now in there rather th... more If supersymmetry is broken in metastable vacua, it is not clear why we are now in there rather than supersymmetric vacua. Moreover, it is natural to expect that we were in supersymmetric vacua, which have higher symmetry than metastable vacua, in the early universe. In this paper, we reexamine and improve the previous analysis on the cosmological evolution of the vacuum structure in the ISS model of metastable supersymmetry breaking by taking into account constraints on the reheating temperature, which is needed to avoid the overproduction of gravitinos. It turns out that the desired phase transition from a supersymmetric vacuum to a metastable vacuum is allowed only in the light gravitino mass region m 3/2 < 4.7 eV. This is achieved by either rolling down a potential or tunneling processes depending on the reheating temperature. We show that when the tunneling processes are realized, abundant gravitational waves could be produced from collisions of runaway bubbles. The resulting gravitational waves are detectable with the future gravitational wave interferometers like LISA and DECIGO.
The full-text may be used and/or reproduced, and given to third parties in any format or medium, ... more The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.
Abstract: According to the AdS/CFT correspondence, the d = 4, N = 4 SU(N) super Yang-Mills theory... more Abstract: According to the AdS/CFT correspondence, the d = 4, N = 4 SU(N) super Yang-Mills theory is dual to the type IIB string theory compactified on AdS5 × S 5. Most of the tests performed so far are confined to the leading order at large N or equivalently string tree-level. To probe the correspondence beyond this leading order and obtain 1 N 2 corrections is difficult since string one-loop computations on an AdS5 × S 5 background generally are beyond feasibility. However, we will show that the chiral SU(4)R anomaly of the super YM theory provides an ideal testing ground to go beyond leading order in N. In this paper, we review and develop further our previous results [1] that the 1/N 2 corrections to the chiral anomaly on the super YM side can be exactly accounted for by the supergravity/string effective action induced at one loop. 1.
The Journal of high energy physics/The journal of high energy physics, May 24, 2024
By using the notion of fractional derivatives, we introduce a class of massless Lifshitz scalar f... more By using the notion of fractional derivatives, we introduce a class of massless Lifshitz scalar field theory in (1+1)-dimension with an arbitrary anisotropy index z. The Lifshitz scale invariant ground state of the theory is constructed explicitly and takes the form of Rokhsar-Kivelson (RK). We show that there is a continuous family of ground states with degeneracy parameterized by the choice of solution to the equation of motion of an auxiliary classical system. The quantum mechanical path integral establishes a 2d/1d correspondence with the equal time correlation functions of the Lifshitz scalar field theory. We study the entanglement properties of the Lifshitz theory for arbitrary z using the path integral representation. The entanglement measures are expressed in terms of certain cross ratio functions we specify, and satisfy the c-function monotonicity theorems. We also consider the holographic description of the Lifshitz theory. In order to match with the field theory result for the entanglement entropy, we propose a z-dependent radius scale for the Lifshitz background. This relation is consistent with the z-dependent scaling symmetry respected by the Lifshitz vacuum. Furthermore, the time-like entanglement entropy is determined using holography. Our result suggests that there should exist a fundamental definition of time-like entanglement other than employing analytic continuation as performed in relativistic field theory.
We show that when an external magnetic field parallel to the boundary is applied, Weyl anomaly gi... more We show that when an external magnetic field parallel to the boundary is applied, Weyl anomaly give rises to a new anomalous current in the vicinity of the boundary. The induced current is a magnetization current in origin: the movement of the virtual charges near the boundary give rise to a non-uniform magnetization of the vacuum and hence a magnetization current. Unlike other previous studied anomalous current phenomena such as the chiral magnetic effect or the chiral vortical effect, this induced current does not rely on the presence of a material system and can occur in vacuum. Similar to the Casimir effect, our discovered phenomena arises from the effect of the boundary on the quantum fluctuations of the vacuum. However this induced current is pure quantum mechanical and has no classical limit. We briefly comment on how this induced current may be observed experimentally.
ABSTRACT The logarithmic perturbation theory is modified slightly in order to deal with excited s... more ABSTRACT The logarithmic perturbation theory is modified slightly in order to deal with excited states. Instead of considering a real wavefunction describing the physical stationary state, the authors consider a complex wavefunction at the same energy, by mixing in the ghost state. For excited bound states, the former has nodes, while the latter is guaranteed not to have any nodes, and can be represented simply as exp(-G), to which the logarithmic perturbation method can be applied in a straightforward manner. The physical entities (the energy corrections) are independent of the amount of mixing of the ghost state. The connection to the Green function method is also shown. The freedom to mix in the ghost state allows the authors to justify an ad hoc approach whereby the simple version of the logarithmic perturbation theory is applied to excited bound states. The formalism is illustrated with simple examples.
We consider a hydrogenic system with a nucleus of finite mass. The coupling of the radiation fiel... more We consider a hydrogenic system with a nucleus of finite mass. The coupling of the radiation field to the center of mass motion gives rise to an effective scalar type coupling. This induced scalar photon interaction emerges as a correction in competition with the usual multipole interactions. This effect is particularly important in positronium where the electric quadrupole interaction is totally suppressed. We illustrate this effect with the two-photon decay of metastable hydrogenic systems.
Torsion can be realized as dislocation in the crystal lattice of material. It is particularly int... more Torsion can be realized as dislocation in the crystal lattice of material. It is particularly interesting if the material has fermions in the spectrum, such as graphene, topological insulators, Dirac and Weyl semimetals, as it's transport properties can be affected by the torsion. In this letter, we find that, due to Weyl anomaly, torsion in Dirac and Weyl semimetals can induce novel chiral currents, either near a boundary or in a "conformally flat space". We briefly discuss how to measure this interesting effect in experiment. It is remarkable that these experiments can help to clarify the theoretical controversy of whether an imaginary Pontryagin density could appear in the Weyl anomaly.
We propose that the quantum states of black hole responsible for the Bekenstein-Hawking entropy a... more We propose that the quantum states of black hole responsible for the Bekenstein-Hawking entropy are given by a thin shell of Bell particles located at the region just underneath the horizon. We argue that the configuration can be stabilized by a new kind of degeneracy pressure which is suggested by noncommutative geometry. We utilize the work of Parikh and Wilczek [2] to include the effect of tunneling on the Bell particles. We show that partially tunneled Bell particles give the Page curve for the Hawking radiation, and the entirety of information initially stored in the black hole is returned to the outside via the Hawking radiation. In view of entropic force, the location of these Bell states is naturally related to the island and the quantum extremal surface. Also, the thin shell of Bell particles may be interpreted as a firewall.
ABSTRACT A hierarchical scheme expresses the phase shift, order by order, in terms of quadrature.... more ABSTRACT A hierarchical scheme expresses the phase shift, order by order, in terms of quadrature. An important advantage is the freedom to choose the unperturbed system, for example, as a piece-wise constant potential, making the remaining correction small, especially if the unperturbed potential has the right number of bound states. Unitary is maintained order by order.
Torsion can be realized as dislocation in the crystal lattice of material. It is particularly int... more Torsion can be realized as dislocation in the crystal lattice of material. It is particularly interesting if the material has fermions in the spectrum, such as graphene, topological insulators, Dirac and Weyl semimetals, as it's transport properties can be affected by the torsion. In this letter, we find that, due to Weyl anomaly, torsion in Dirac and Weyl semimetals can induce novel chiral currents, either near a boundary or in a "conformally flat space". We briefly discuss how to measure this interesting effect in experiment. It is remarkable that these experiments can help to clarify the theoretical controversy of whether an imaginary Pontryagin density could appear in the Weyl anomaly.
One of the most important questions in the Bagger-Lambert-Gustavsson (BLG) theory of multiple M2-... more One of the most important questions in the Bagger-Lambert-Gustavsson (BLG) theory of multiple M2-branes is the choice of the Lie 3-algebra. The Lie 3algebra should be chosen such that the corresponding BLG model is unitary and admits fuzzy 3-sphere as a solution. In this paper we propose a new condition: the Lie 3algebras of use must be connected to the semisimple Lie algebras describing the gauge symmetry of D-branes via a certain reduction condition. We show that this reduction condition leads to a natural generalization of the Cartan-Weyl 3-algebras introduced in [1]. Similar to a Cartan-Weyl 3-algebra, a generalized Cartan-Weyl 3-algebra processes a set of step generators characterized by non-degenerate roots. However, its Cartan subalgebra is non-abelian in general. We give reasons why having a non-abelian Cartan subalgebra may be just right to allow for fuzzy 3-sphere solution in the corresponding BLG models. We propose that generalized Cartan-Weyl 3-algebras is the right class of metric Lie 3-algebras to be used in the BLG theory.
ABSTRACT The work [C. S. Chu and P. M. Ho, hep-th/0602054] on time-dependent AdS/CFT corresponden... more ABSTRACT The work [C. S. Chu and P. M. Ho, hep-th/0602054] on time-dependent AdS/CFT correspondence is reviewed. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also constructed explicitly and is given by a time-dependent supersymmetric Yang-Mills theory. We find that the two-point function computed by using duality is different from that by doing a direct field theory computation. In particular the spacetime singularity is not seen in the gauge description, suggesting that the spacetime singularity may be resolved in quantum gravity.
We consider general BPS Wilson loop operators in the N=1 beta-deformed supersymmetric Yang-Mills ... more We consider general BPS Wilson loop operators in the N=1 beta-deformed supersymmetric Yang-Mills theory and derive the boundary condition satisfied by the dual string worldsheet. The boundary condition is found to be deformed and is characterized by the vielbein of the ...
We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal f... more We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal field theory (BCFT) both from the field theory and holographic point of view. In field theory, we compute the time-like entanglement entropy of a pure time-like interval at zero and finite temperature using the replica technique and analytical continuation. We find that, similar to the ordinary space-like entanglement entropy in BCFT, the time-like entropy also has a bulk phase and a boundary phase which corresponds respectively to the dominance of the identity block in the bulk and boundary OPE channels. However, we find that in Lorentzian BCFT, the time-like entanglement entropy posses a third Regge phase which arises in the Regge limit of the interval, when one endpoint of the time interval approaches the light cone of the mirror image of the other endpoint. We determine the phase diagram for the time-like entanglement entropy. We find that while the time-like entropy is complex in the...
The main subject of this thesis is the geometry of quantum groups and quantum spaces. The main to... more The main subject of this thesis is the geometry of quantum groups and quantum spaces. The main tool used is the Faddeev-Reshetikhin-Takhtajan description of quantum groups. A few content-rich examples of quantum complex spaces with quantum group symmetry are treated in details. In chapter 1, we review some of the basic concepts and notions for Hop£ algebras and other background materials. In chapter 2, we study the vector fields of quantum groups. A compact realization of these vector fields as pseudodifferential operators acting on the linear quantum spaces is given. In chapte1• 3, we describe the quantum sphere as a complex quantum manifold by means of a quantum stereographic projection. A covariant calculus is introduced. An interesting property of this c&!culus is the existence of a one-form realization of the exterior differential operator. The concept of a braided comodule is introduced and a braided algebra of quantum spheres is constructed. In chapter 4, we consider the more general higher dimensional quantum complex projective spaces and the quantum Grassman manifolds. Differential calculus, integration and braiding can be introduced as in the one dimensional case. A sufficient condition for the existence of a one-form realization of the exterior differential operators 6, 6 is given and is applied to the case of complex projective spaces and quantum Grassmannians. FinaHy, in chapter 5, we study the framework of quantum principal bundle and construct the q-deformed Dirac monopole as a quantum principal bundle with a quantum sphere as the b.ase and a U(l) with non-commutative calculus as the fiber. The first Chern class can be introduced and integrated to give the monopole charge. Disclaimer Thlo document wu prep....,d u an account of work opo1110red by the United Stateo Government. While thlo document Ia believed to contain COrt'OCt information, neither the United States Government nor any asency thereof, nor The Resento of the Univenlty of California, nor any of their employeeo, makeo any warranty, expreu or implied, or uownes any lesalliability or reoponoibility for the accuracy, completen-, or uaefuln ... of any Information, apparatua, product, or proceso dioclooed, or representa that ito uae would notlnfrinae privately owned rishto. Reference herein to any opecilic commercial product• proc ... , or oervlce by Ito trade name, trademark, manufacturer, or otherwise, does not neceuarily conatitute or imply Jte endonement, recommendation, or favor• ins by the United Stat.ee Government or any as;ency thereof, or The Resent• or the Unlveraity or California. The viewo and opinlono or authon expreued herein do not neceuarily alate or reflect thooe or the United Stateo Government or any asency thereof, or The Resent• of the Univenity or California.
If supersymmetry is broken in metastable vacua, it is not clear why we are now in there rather th... more If supersymmetry is broken in metastable vacua, it is not clear why we are now in there rather than supersymmetric vacua. Moreover, it is natural to expect that we were in supersymmetric vacua, which have higher symmetry than metastable vacua, in the early universe. In this paper, we reexamine and improve the previous analysis on the cosmological evolution of the vacuum structure in the ISS model of metastable supersymmetry breaking by taking into account constraints on the reheating temperature, which is needed to avoid the overproduction of gravitinos. It turns out that the desired phase transition from a supersymmetric vacuum to a metastable vacuum is allowed only in the light gravitino mass region m 3/2 < 4.7 eV. This is achieved by either rolling down a potential or tunneling processes depending on the reheating temperature. We show that when the tunneling processes are realized, abundant gravitational waves could be produced from collisions of runaway bubbles. The resulting gravitational waves are detectable with the future gravitational wave interferometers like LISA and DECIGO.
The full-text may be used and/or reproduced, and given to third parties in any format or medium, ... more The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.
Abstract: According to the AdS/CFT correspondence, the d = 4, N = 4 SU(N) super Yang-Mills theory... more Abstract: According to the AdS/CFT correspondence, the d = 4, N = 4 SU(N) super Yang-Mills theory is dual to the type IIB string theory compactified on AdS5 × S 5. Most of the tests performed so far are confined to the leading order at large N or equivalently string tree-level. To probe the correspondence beyond this leading order and obtain 1 N 2 corrections is difficult since string one-loop computations on an AdS5 × S 5 background generally are beyond feasibility. However, we will show that the chiral SU(4)R anomaly of the super YM theory provides an ideal testing ground to go beyond leading order in N. In this paper, we review and develop further our previous results [1] that the 1/N 2 corrections to the chiral anomaly on the super YM side can be exactly accounted for by the supergravity/string effective action induced at one loop. 1.
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Papers by Chong-sun Chu