We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, ... more We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.
We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of... more We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of a $$ \mathcal{N} $$ N = 2 Einstein-Maxwell supergravity theory (EMSGT) distributed into different multiplets in d = 4 space-time dimensions. By utilizing the Seeley-DeWitt data in the quantum entropy function formalism, we then obtain the logarithmic correction contribution of individual multiplets to the entropy of extremal Kerr-Newman family of black holes. Our results allow us to find the logarithmic entropy corrections for the extremal black holes in a fully matter coupled $$ \mathcal{N} $$ N = 2, d = 4 EMSGT, in a particular class of $$ \mathcal{N} $$ N = 1, d = 4 EMSGT as consistent decomposition of $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N = 2 → $$ \mathcal{N} $$ N = 1) and in $$ \mathcal{N} $$ N ≥ 3, d = 4 EMSGTs by decomposing them into $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N ≥ 3 → $$ \mathcal{N} $$ N = 2). For completeness, we also obtain logarith...
We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt e... more We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants. We, then consider the Einstein-Maxwell theory em-bedded in minimal $$ \mathcal{N} $$ N = 2 supergravity in four dimensions and compute the first three Seeley-DeWitt coefficients of the kinetic operator of the bosonic and the fermionic fields in an arbitrary background field configuration. We find the applications of these results in the computation of logarithmic corrections to Bekenstein-Hawking entropy of the extremal Kerr-Newman, Kerr and Reissner-Nordström black holes in minimal $$ \mathcal{N} $$ N = 2 Einstein-Maxwell supergravity theory following the quantum entropy function formalism.
We review the general heat kernel method for the Dirac spinor field as an elementary example in a... more We review the general heat kernel method for the Dirac spinor field as an elementary example in any arbitrary background. We, then compute the first three Seeley–DeWitt coefficients for the massless free spin-3/2 Rarita–Schwinger field without imposing any limitations on the background geometry.
We present supergravity solution for F-string in pp-wave background obtained from [Formula: see t... more We present supergravity solution for F-string in pp-wave background obtained from [Formula: see text] with zero flat direction. The classical solution is shown to break all space–time supersymmetries. We explicitly write down the standard as well as supernumerary Killing spinors both for the background and F-string solution.
A dicarboxamide based nickel complex with an internal quinoline moiety, acts as an active photoca... more A dicarboxamide based nickel complex with an internal quinoline moiety, acts as an active photocatalyst for proton reduction achieving 2160 turnovers. The pendant base functions for internal proton relay towards the metal center to generate H2 following a CECE (C = Chemical, E = Electrochemical) mechanistic path.
We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following ... more We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the compatibility of kappa symmetry projections with the target space Killing spinors in each case. The embeddings correspond to AdS/dCFT dualities involving a CFT with a defect. We also comment on the defect CFT.
We compute the second Seely-DeWitt coefficient of the kinetic operator of the metric and gauge fi... more We compute the second Seely-DeWitt coefficient of the kinetic operator of the metric and gauge fields in Einstein-Maxwell theory in an arbitrary background field configuration. We then use this result to compute the logarithmic correction to the entropy of an extremal Kerr-Newmann black hole.
We construct a minimal example of a supersymmetric grand unified model in a toroidal compactifica... more We construct a minimal example of a supersymmetric grand unified model in a toroidal compactification of type I string theory with magnetized D9-branes. All geometric moduli are stabilized in terms of the background internal magnetic fluxes which are of "oblique" type (mutually non-commuting). The gauge symmetry is just SU (5) and the gauge non-singlet chiral spectrum contains only three families of quarks and leptons transforming in the 10 +5 representations.
Computation of Yukawa couplings, determining superpotentials as well as the Kähler metric, with o... more Computation of Yukawa couplings, determining superpotentials as well as the Kähler metric, with oblique (non-commuting) fluxes in magnetized brane constructions is an interesting unresolved issue, in view of the importance of such fluxes for obtaining phenomenologically viable models. In order to perform this task, fermion (scalar) wavefunctions on toroidally compactified spaces are presented for general fluxes, parameterized by Hermitian matrices with eigenvalues of arbitrary signatures. We also give explicit mappings among fermion wavefunctions, of different internal chiralities on the tori, which interchange the role of the flux components with the complex structure of the torus. By evaluating the overlap integral of the wavefunctions, we give the expressions for Yukawa couplings among chiral multiplets arising from an arbitrary set of branes (or their orientifold images). The method is based on constructing certain mathematical identities for general Riemann theta functions with matrix valued modular parameter. We briefly discuss an application of the result, for the mass generation of non-chiral fermions, in the SU (5) GUT model presented by us in arXiv: 0709.2799.
We construct D-brane embeddings in [Formula: see text] by studying the consistency conditions fol... more We construct D-brane embeddings in [Formula: see text] by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the compatibility of kappa symmetry projections with the target space Killing spinors in each case. The embeddings correspond to AdS/dCFT dualities involving ABJM theories with a defect. We also comment on the defect CFT.
We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg–... more We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg–Williams construction of a free energy function. Starting with a pedagogical review of this construction in condensed matter systems and also its implementation to Hawking–Page transition, we study instabilities associated with hairy black holes and also with the R-charged black holes. For the hairy black holes, an analysis of thermal quench is presented.
Closed string moduli stabilization has been intensively studied during the last years for its imp... more Closed string moduli stabilization has been intensively studied during the last years for its implication towards a comprehensive understanding of the superstring vacua [1] and [2], as well as due to its significance in deriving definite low energy predictions for particle models derived ...
We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, ... more We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.
We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of... more We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of a $$ \mathcal{N} $$ N = 2 Einstein-Maxwell supergravity theory (EMSGT) distributed into different multiplets in d = 4 space-time dimensions. By utilizing the Seeley-DeWitt data in the quantum entropy function formalism, we then obtain the logarithmic correction contribution of individual multiplets to the entropy of extremal Kerr-Newman family of black holes. Our results allow us to find the logarithmic entropy corrections for the extremal black holes in a fully matter coupled $$ \mathcal{N} $$ N = 2, d = 4 EMSGT, in a particular class of $$ \mathcal{N} $$ N = 1, d = 4 EMSGT as consistent decomposition of $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N = 2 → $$ \mathcal{N} $$ N = 1) and in $$ \mathcal{N} $$ N ≥ 3, d = 4 EMSGTs by decomposing them into $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N ≥ 3 → $$ \mathcal{N} $$ N = 2). For completeness, we also obtain logarith...
We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt e... more We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants. We, then consider the Einstein-Maxwell theory em-bedded in minimal $$ \mathcal{N} $$ N = 2 supergravity in four dimensions and compute the first three Seeley-DeWitt coefficients of the kinetic operator of the bosonic and the fermionic fields in an arbitrary background field configuration. We find the applications of these results in the computation of logarithmic corrections to Bekenstein-Hawking entropy of the extremal Kerr-Newman, Kerr and Reissner-Nordström black holes in minimal $$ \mathcal{N} $$ N = 2 Einstein-Maxwell supergravity theory following the quantum entropy function formalism.
We review the general heat kernel method for the Dirac spinor field as an elementary example in a... more We review the general heat kernel method for the Dirac spinor field as an elementary example in any arbitrary background. We, then compute the first three Seeley–DeWitt coefficients for the massless free spin-3/2 Rarita–Schwinger field without imposing any limitations on the background geometry.
We present supergravity solution for F-string in pp-wave background obtained from [Formula: see t... more We present supergravity solution for F-string in pp-wave background obtained from [Formula: see text] with zero flat direction. The classical solution is shown to break all space–time supersymmetries. We explicitly write down the standard as well as supernumerary Killing spinors both for the background and F-string solution.
A dicarboxamide based nickel complex with an internal quinoline moiety, acts as an active photoca... more A dicarboxamide based nickel complex with an internal quinoline moiety, acts as an active photocatalyst for proton reduction achieving 2160 turnovers. The pendant base functions for internal proton relay towards the metal center to generate H2 following a CECE (C = Chemical, E = Electrochemical) mechanistic path.
We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following ... more We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the compatibility of kappa symmetry projections with the target space Killing spinors in each case. The embeddings correspond to AdS/dCFT dualities involving a CFT with a defect. We also comment on the defect CFT.
We compute the second Seely-DeWitt coefficient of the kinetic operator of the metric and gauge fi... more We compute the second Seely-DeWitt coefficient of the kinetic operator of the metric and gauge fields in Einstein-Maxwell theory in an arbitrary background field configuration. We then use this result to compute the logarithmic correction to the entropy of an extremal Kerr-Newmann black hole.
We construct a minimal example of a supersymmetric grand unified model in a toroidal compactifica... more We construct a minimal example of a supersymmetric grand unified model in a toroidal compactification of type I string theory with magnetized D9-branes. All geometric moduli are stabilized in terms of the background internal magnetic fluxes which are of "oblique" type (mutually non-commuting). The gauge symmetry is just SU (5) and the gauge non-singlet chiral spectrum contains only three families of quarks and leptons transforming in the 10 +5 representations.
Computation of Yukawa couplings, determining superpotentials as well as the Kähler metric, with o... more Computation of Yukawa couplings, determining superpotentials as well as the Kähler metric, with oblique (non-commuting) fluxes in magnetized brane constructions is an interesting unresolved issue, in view of the importance of such fluxes for obtaining phenomenologically viable models. In order to perform this task, fermion (scalar) wavefunctions on toroidally compactified spaces are presented for general fluxes, parameterized by Hermitian matrices with eigenvalues of arbitrary signatures. We also give explicit mappings among fermion wavefunctions, of different internal chiralities on the tori, which interchange the role of the flux components with the complex structure of the torus. By evaluating the overlap integral of the wavefunctions, we give the expressions for Yukawa couplings among chiral multiplets arising from an arbitrary set of branes (or their orientifold images). The method is based on constructing certain mathematical identities for general Riemann theta functions with matrix valued modular parameter. We briefly discuss an application of the result, for the mass generation of non-chiral fermions, in the SU (5) GUT model presented by us in arXiv: 0709.2799.
We construct D-brane embeddings in [Formula: see text] by studying the consistency conditions fol... more We construct D-brane embeddings in [Formula: see text] by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the compatibility of kappa symmetry projections with the target space Killing spinors in each case. The embeddings correspond to AdS/dCFT dualities involving ABJM theories with a defect. We also comment on the defect CFT.
We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg–... more We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg–Williams construction of a free energy function. Starting with a pedagogical review of this construction in condensed matter systems and also its implementation to Hawking–Page transition, we study instabilities associated with hairy black holes and also with the R-charged black holes. For the hairy black holes, an analysis of thermal quench is presented.
Closed string moduli stabilization has been intensively studied during the last years for its imp... more Closed string moduli stabilization has been intensively studied during the last years for its implication towards a comprehensive understanding of the superstring vacua [1] and [2], as well as due to its significance in deriving definite low energy predictions for particle models derived ...
Uploads
Papers by binata panda