Localization & Exact Holography
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In this article, the authors considered the holographic correspondence near the horizon of big four-dimensional black holes preserving four supersymmetries in toroidally compactified Type-II string theory.Abstract:
We consider the AdS
2
/CFT
1 holographic correspondence near the horizon of big four-dimensional black holes preserving four supersymmetries in toroidally compactified Type-II string theory. The boundary partition function of CFT
1 is given by the known quantum degeneracies of these black holes. The bulk partition function is given by a functional integral over string fields in AdS
2. Using recent results on localization we reduce the infinite-dimensional functional integral to a finite number of ordinary integrals over a space of localizing instantons. Under reasonable assumptions about the relevant terms in the effective action, these integrals can be evaluated exactly to obtain a bulk partition function. It precisely reproduces all terms in the exact Rademacher expansion of the boundary partition function as nontrivial functions of charges except for the Kloosterman sum which can in principle follow from an analysis of phases in the background of orbifolded instantons. Our results can be regarded as a step towards proving ‘exact holography’ in that the bulk and boundary partition functions computed independently agree for finite charges. Since the bulk partition function defines the quantum entropy of the black hole, our results enable the evaluation of perturbative as well as nonperturbative quantum corrections to the Bekenstein-Hawking-Wald entropy of these black holes.read more
Citations
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Book ChapterDOI
Particle Creation by Black Holes
TL;DR: In this paper, it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were hot bodies with temperature, which leads to a slow decrease in the mass of the black hole and to its eventual disappearance.
Journal ArticleDOI
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS$_{\bf 5}$ black holes
TL;DR: In this paper, a holographic derivation of the entropy of supersymmetric asymptotically AdS$_5$ black holes is presented, which is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject to a constraint.
Journal ArticleDOI
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes
TL;DR: In this paper, a holographic derivation of the entropy of supersymmetric AdS5 black holes is presented, which is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject to a con-straint.
Posted Content
Umbral Moonshine
TL;DR: In this article, the Mathieu group correspondence was recovered as a special case of the extremal Jacobi form, which characterises the Jacobi forms arising by establishing a connection to critical values of Dirichlet series attached to modular forms of weight.
Journal ArticleDOI
AdS black holes, holography and localization
TL;DR: In this paper, the number of micro states of AdS supersymmetric black holes in dimension equal or greater than four using holography is estimated by applying localization and matrix model techniques to the dual field theory.
References
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Journal ArticleDOI
Particle Creation by Black Holes
TL;DR: In this article, it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were hot bodies with temperature, which leads to a slow decrease in the mass of the black hole and to its eventual disappearance.
Journal ArticleDOI
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