Vimal Rathee
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Vimal Rathee has a total of 22 co-authors. Here are the top co-authors by number of shared publications:
- Leopoldo A. Pando Zayas
University of Michigan
12 shared publications - Alberto Faraggi
Departamento de Ciencias Físicas Facultad de Ciencias Exactas Universidad Andrés Bello Sazie 2212 Piso 7 Santiago Chile
6 shared publications - Guillermo A. Silva
Departamento de Física Instituto de Física de La Plata -CONICET Diagonal 113 e/ 63 y 64 1900 La Plata Argentina
6 shared publications - Jeremías Aguilera-Damia
Universitat de Barcelona
6 shared publications - James T. Liu
University of Michigan
3 shared publications - Wenli Zhao
Joseph Henry Laboratories, Princeton University, Princeton, USA
3 shared publications
Latest Publications
- Open Access
- 13 August 2018
- Published by American Physical Society (APS) in Physical Review D
- Vol. 98 (4) , 046011
Zeta-function regularization of holographic Wilson loops
Using -function regularization, we study the one-loop effective action of fundamental strings in dual to the latitude -BPS Wilson loop in super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic -BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.- 13 August 2018
- Published by American Physical Society (APS) in Physical Review D
- Vol. 98 (4) , 046011
Open AccessZeta-function regularization of holographic Wilson loops
Using -function regularization, we study the one-loop effective action of fundamental strings in dual to the latitude -BPS Wilson loop in super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic -BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order. - Open Access
- 10 August 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (8) , 44
Toward precision holography in type IIA with Wilson loops
We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × ℂℙ3. These configurations are dual to Wilson loops in the $$ \mathcal{N}=6 $$ U(N) k × U(N)−k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.- 10 August 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (8) , 44
Open AccessToward precision holography in type IIA with Wilson loops
We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × ℂℙ3. These configurations are dual to Wilson loops in the $$ \mathcal{N}=6 $$ U(N) k × U(N)−k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement. - Open Access
Entropy functional and the holographic attractor mechanism
We provide a field theory interpretation of the attractor mechanism for asymptotically AdS$_4$ dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We holographically compute the renormalized off-shell quantum effective action in the twisted ABJM theory as a function of the supersymmetric fermion masses and the arbitrary vacuum expectation values of the dimension one scalar bilinear operators and show that extremizing the effective action with respect to the vacuum expectation values of the dimension one scalar bilinears is equivalent to the attractor mechanism in the bulk. In fact, we show that the holographic quantum effective action coincides with the entropy functional and, therefore, its value at the extremum reproduces the black hole entropy.
Open AccessEntropy functional and the holographic attractor mechanism
We provide a field theory interpretation of the attractor mechanism for asymptotically AdS$_4$ dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We holographically compute the renormalized off-shell quantum effective action in the twisted ABJM theory as a function of the supersymmetric fermion masses and the arbitrary vacuum expectation values of the dimension one scalar bilinear operators and show that extremizing the effective action with respect to the vacuum expectation values of the dimension one scalar bilinears is equivalent to the attractor mechanism in the bulk. In fact, we show that the holographic quantum effective action coincides with the entropy functional and, therefore, its value at the extremum reproduces the black hole entropy.
- Open Access
A One-loop Test of Quantum Black Holes in Anti de Sitter Space
Within eleven dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS${}_4$ black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.
Open AccessA One-loop Test of Quantum Black Holes in Anti de Sitter Space
Within eleven dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS${}_4$ black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.
- Open Access
Toward Precision Holography in Type IIA with Wilson Loops
We study the one-loop effective action of certain classical type IIA string configurations in $AdS_4\times \mathbb{CP}^3$. These configurations are dual to Wilson loops in the $\mathcal{N}= 6\:$ $U(N)_k \times U(N)_{-k}$ Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full $\zeta$-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the $\zeta$-function approach seems to lead to a disagreement. We explore various issues that might be responsible for this state of affairs.Open AccessToward Precision Holography in Type IIA with Wilson Loops
We study the one-loop effective action of certain classical type IIA string configurations in $AdS_4\times \mathbb{CP}^3$. These configurations are dual to Wilson loops in the $\mathcal{N}= 6\:$ $U(N)_k \times U(N)_{-k}$ Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full $\zeta$-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the $\zeta$-function approach seems to lead to a disagreement. We explore various issues that might be responsible for this state of affairs. - Open Access
- 1 June 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (6) , 7
Functional determinants of radial operators in AdS2
We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS 2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS 2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic $$ \frac{1}{4} $$ -BPS latitude Wilson loop.- 1 June 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (6) , 7
Open AccessFunctional determinants of radial operators in AdS2
We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS 2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS 2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic $$ \frac{1}{4} $$ -BPS latitude Wilson loop. - Open Access
- 1 June 2018
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 120 (22) , 221602
One-Loop Test of Quantum Black Holes in anti–de Sitter Space
Within 11-dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.- 1 June 2018
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 120 (22) , 221602
Open AccessOne-Loop Test of Quantum Black Holes in anti–de Sitter Space
Within 11-dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes. - Open Access
- 24 May 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (5) , 155
Entropy functional and the holographic attractor mechanism
We provide a field theory interpretation of the attractor mechanism for asymptotically AdS4 dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We holographically compute the renormalized off-shell quantum effective action in the twisted ABJM theory as a function of the supersymmetric fermion masses and the arbitrary vacuum expectation values of the dimension one scalar bilinear operators and show that extremizing the effective action with respect to the vacuum expectation values of the dimension one scalar bilinears is equivalent to the attractor mechanism in the bulk. In fact, we show that the holographic quantum effective action coincides with the entropy functional and, therefore, its value at the extremum reproduces the black hole entropy.
- 24 May 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (5) , 155
Open AccessEntropy functional and the holographic attractor mechanism
We provide a field theory interpretation of the attractor mechanism for asymptotically AdS4 dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We holographically compute the renormalized off-shell quantum effective action in the twisted ABJM theory as a function of the supersymmetric fermion masses and the arbitrary vacuum expectation values of the dimension one scalar bilinear operators and show that extremizing the effective action with respect to the vacuum expectation values of the dimension one scalar bilinears is equivalent to the attractor mechanism in the bulk. In fact, we show that the holographic quantum effective action coincides with the entropy functional and, therefore, its value at the extremum reproduces the black hole entropy.
- Open AccessFunctional Determinants of Radial Operators in $AdS_2$We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean $AdS_2$ space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal $AdS_2$ geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic $\frac{1}{4}$-BPS latitude Wilson loop.Open AccessFunctional Determinants of Radial Operators in $AdS_2$We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean $AdS_2$ space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal $AdS_2$ geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic $\frac{1}{4}$-BPS latitude Wilson loop.
- Open Access
Zeta-function Regularization of Holographic Wilson Loops
Using $\zeta$-function regularization, we study the one-loop effective action of fundamental strings in $AdS_5\times S^5$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ Super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $\frac{1}{2}$-BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.Open AccessZeta-function Regularization of Holographic Wilson Loops
Using $\zeta$-function regularization, we study the one-loop effective action of fundamental strings in $AdS_5\times S^5$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ Super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $\frac{1}{2}$-BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.