Papers by CarloAlberto Ratti
We study the embedding of spacetime filling D7-branes in beta-deformed backgrounds which, accordi... more We study the embedding of spacetime filling D7-branes in beta-deformed backgrounds which, according to the AdS/CFT dictionary, corresponds to flavoring beta-deformed N=4 super Yang-Mills. We consider supersymmetric and more general non-supersymmetric three parameter deformations. The equations of motion for quadratic fluctuations of a probe D7-brane wrapped on a deformed three-sphere exhibit a non-trivial coupling between scalar and vector modes induced by the deformation. Nevertheless, we manage to solve them analytically and find that the mesonic mass spectrum is discrete, with a mass gap and a Zeeman-like splitting occurs. Finally we propose the action for the dual field theory as obtained by star-product deformation of super Yang-Mills with fundamental matter.
We consider type IIA superstring theory on the background AdS4 x CP3, and the classical solution ... more We consider type IIA superstring theory on the background AdS4 x CP3, and the classical solution describing a folded string spinning in AdS4 with angular momentum in CP3. In the 't Hooft limit, it is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. We provide an integral representation for this quantity valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string providing various accurate analytical expansions. Finally, we investigate various properties of the so-called slope, the leading term of the energy for short strings, collecting information that could be useful in attempts to generalize the exact results recently proposed for the folded string in AdS5 x S5.
Twist operators in the closed sl(2) sector of planar N=4 SYM are characterized by their spin. The... more Twist operators in the closed sl(2) sector of planar N=4 SYM are characterized by their spin. The explicit dependence of anomalous dimensions on this important parameter is a source of interesting information. Wrapping corrections are a non trivial part of the calculation and are under control in the framework of thermodynamical Bethe Ansatz valid for the full theory and thoroughly checked in that sector. The extension to more general twist operators beyond sl(2) has been recently accomplished for the so-called 3-gluon operators that are a special case of the generalized twist operators introduced by Freyhult, Rej and Zieme. Such operators are dual to spinning strings configurations with two spins S1, S2 in AdS_5 and charge in S^5. We compute the expansion of the weak-coupling leading order wrapping correction in the gauge theory limit dual to large S1 and fixed S2. We present a simple algorithm for the calculation and provide explicit results illustrating the general structure of t...
We consider classical multi-spin string solutions in marginally deformed AdS4 x CP3. We reconside... more We consider classical multi-spin string solutions in marginally deformed AdS4 x CP3. We reconsider the results of arXiv:1208.0389 and extend them to the non supersymmetric 3-deformation parameter background. After a general discussion, we study various explicit solutions and we give expressions for their conserved classical angular momenta and energy.
We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2... more We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin N. We combine the wrapping correction with the known four-loop asymptotic Bethe Ansatz contribution and analyze special limits in the spin N. In particular, at large N, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple BFKL-like equation predicting the rightmost leading poles.
We consider semiclassical quantization of spiky strings spinning in AdS_3 part of AdS_5 X S^5 usi... more We consider semiclassical quantization of spiky strings spinning in AdS_3 part of AdS_5 X S^5 using integrability-based (algebraic curve) method. In the "short string" (small spin) limit the expansion of string energy starts with its flat-space expression. We compute the leading quantum string correction to "short" spiky string energy and find the explicit form of the corresponding 1-loop coefficient a_01. It turns out to be rational and expressed in terms of the harmonic sums as functions of the number n of spikes. In the special case of n=2 when the spiky string reduces to the single-folded spinning string the coefficient a_01 takes the value (-1/4) found in arXiv:1102.1040. We also consider a similar computation for the m-folded string and more general spiky string with an extra "winding" number, finding similar expressions for a_01. These results may be useful for a description of energies of higher excited states in the quantum AdS_5 X S^5 string s...
We consider the classical solution describing a folded type IIA string in the background AdS4 × C... more We consider the classical solution describing a folded type IIA string in the background AdS4 × CP 3. The string is spinning in AdS and has angular momentum in CP 3. In the 't Hooft limit, this is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. An integral representation is given, valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string. Finally, we investigate various properties of the leading term of the energy for short strings (the so-called slope).
arXiv: High Energy Physics - Theory, 2012
We consider classical multi-spin string solutions in marginally deformed AdS4 x CP3. We reconside... more We consider classical multi-spin string solutions in marginally deformed AdS4 x CP3. We reconsider the results of arXiv:1208.0389 and extend them to the non supersymmetric 3-deformation parameter background. After a general discussion, we study various explicit solutions and we give expressions for their conserved classical angular momenta and energy.
Journal of High Energy Physics, 2012
Journal of Physics A: Mathematical and Theoretical, 2012
We consider semiclassical quantization of spiky strings spinning in Ë ¿ part of Ë ¢ Ë using integ... more We consider semiclassical quantization of spiky strings spinning in Ë ¿ part of Ë ¢ Ë using integrability-based (algebraic curve) method. In the "short string" (small spin) limit the expansion of string energy starts with its flat-space expression. We compute the leading quantum string correction to "short" spiky string energy and find the explicit form of the corresponding 1-loop coefficient ¼½. It turns out to be rational and expressed in terms of the harmonic sums as functions of the number Ò of spikes. In the special case of Ò ¾ when the spiky string reduces to the single-folded spinning string the coefficient ¼½ takes the value (½) found in arXiv:1102.1040. We also consider a similar computation for the Ñ-folded string and more general spiky string with an extra "winding" number, finding similar expressions for ¼½. These results may be useful for a description of energies of higher excited states in the quantum Ë ¢Ë string spectrum, generalizing earlier discussions of the string counterparts of the Konishi operator.
Journal of Physics: Conference Series, 2013
We consider the classical solution describing a folded type IIA string in the background AdS4 × C... more We consider the classical solution describing a folded type IIA string in the background AdS4 × CP 3. The string is spinning in AdS and has angular momentum in CP 3. In the 't Hooft limit, this is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. An integral representation is given, valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string. Finally, we investigate various properties of the leading term of the energy for short strings (the so-called slope).
Fortschritte der Physik, 2012
Journal of High Energy Physics, 2011
Twist operators in the closed sl´¾µ sector of planar AE SYM are characterized by their spin. The ... more Twist operators in the closed sl´¾µ sector of planar AE SYM are characterized by their spin. The explicit dependence of anomalous dimensions on this important parameter is a source of interesting information. Wrapping corrections are a non trivial part of the calculation and are under control in the framework of thermodynamical Bethe Ansatz valid for the full theory and thoroughly checked in that sector. The extension to more general twist operators beyond sl´¾µ has been recently accomplished for the so-called 3-gluon operators that are a special case of the generalized twist operators introduced by Freyhult, Rej and Zieme. Such operators are dual to spinning strings configurations with two spins Ë ½ , Ë ¾ in Ë and charge in Ë. We compute the expansion of the weak-coupling leading order wrapping correction in the gauge theory limit dual to large Ë ½ and fixed Ë ¾. We present a simple algorithm for the calculation and provide explicit results illustrating the general structure of the expansion.
Abstract: We study the embedding of spacetime filling D7–branes in β–deformed backgrounds which, ... more Abstract: We study the embedding of spacetime filling D7–branes in β–deformed backgrounds which, according to the AdS/CFT dictionary, corresponds to flavoring β–deformed N = 4 super Yang–Mills. We consider supersymmetric and more general non–supersymmetric three parameter deformations. The equations of motion for quadratic fluctuations of a probe D7–brane wrapped on a deformed three–sphere exhibit a non–trivial coupling between scalar and vector modes induced by the deformation. Nevertheless, we manage to solve them analytically and find that the mesonic mass spectrum is discrete, with a mass gap and a Zeeman–like splitting occurs. Finally we propose the action for the dual field theory as obtained by ∗–product deformation of super Yang–Mills with fundamental matter. Keywords: AdS/CFT, Flavors, Marginal Deformations. Contents
Fortschritte der Physik, 2008
ABSTRACT We review the results of 0710.4292 [hep-th] where we study the embedding of spacetime fi... more ABSTRACT We review the results of 0710.4292 [hep-th] where we study the embedding of spacetime filling D7-branes in β-deformed backgrounds. This corresponds to flavoring β-deformed = 4 super Yang–Mills. For the supersymmetric and the more general non-supersymmetric three parameter deformations, we study quadratic fluctuations of a probe D7-brane wrapped on a deformed three-sphere, which correspond to mesonic configurations of the dual field theory. We manage to solve their equations exactly in the presence of a non-trivial coupling between scalar and vector modes induced by the deformation. We find a mesonic mass spectrum which is discrete, with a mass gap and a Zeeman-like splitting occurs.
We consider the classical solution describing a folded type IIA string in the background $AdS_4 \... more We consider the classical solution describing a folded type IIA string in the background $AdS_4 \times \mathbb{CP}^3$. The string is spinning in $AdS$ and has angular momentum in $\mathbb{CP}^3$. In the 't Hooft limit, this is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. An integral representation is given, valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string. Finally, we investigate various properties of the leading term of the energy for short strings (the so-called slope).
We consider type IIA superstring theory on the background AdS4 x CP3, and the classical solution ... more We consider type IIA superstring theory on the background AdS4 x CP3, and the classical solution describing a folded string spinning in AdS4 with angular momentum in CP3. In the 't Hooft limit, it is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. We provide an integral representation for this quantity valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string providing various accurate analytical expansions. Finally, we investigate various properties of the so-called slope, the leading term of the energy for short strings, collecting information that could be useful in attempts to generalize the exact results recently proposed for the folded string in AdS5 x S5.
We study the embedding of spacetime filling D7-branes in β-deformed backgrounds which, according ... more We study the embedding of spacetime filling D7-branes in β-deformed backgrounds which, according to the AdS/CFT dictionary, corresponds to flavoring β-deformed N = 4 super Yang-Mills. We consider supersymmetric and more general non-supersymmetric three parameter deformations. The equations of motion for quadratic fluctuations of a probe D7-brane wrapped on a deformed three-sphere exhibit a non-trivial coupling between scalar and vector modes induced by the deformation. Nevertheless, we manage to solve them analytically and find that the mesonic mass spectrum is discrete, with a mass gap and a Zeeman-like splitting occurs. Finally we propose the action for the dual field theory as obtained by *-product deformation of super Yang-Mills with fundamental matter.
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Papers by CarloAlberto Ratti