期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2013)062
关键词
Black Holes in String Theory; AdS-CFT Correspondence
资金
- Excellence Chair of the Agence Nationale de la Recherche (ANR)
- Fundacao para Ciencia e Tecnologia (FCT)
- European Commission [PIIF-GA-2008-220899]
- ERC [246974]
- National Science Foundation [1066293]
- Science and Technology Facilities Council [ST/J002798/1] Funding Source: researchfish
- STFC [ST/J002798/1] Funding Source: UKRI
We consider the AdS(2)/CFT1 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 CFT1 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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据