Black hole microstates in AdS4 from supersymmetric localization

被引:264
作者
Benini, Francesco [1 ,2 ]
Hristov, Kiril [3 ]
Zaffaroni, Alberto [4 ,5 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, South Kensington Campus, London SW7 2AZ, England
[2] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[3] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, Tsarigradsko Chaussee 72, BU-1784 Sofia, Bulgaria
[4] Univ Milano Bicocca, Dipartimento Fis, Piazza Sci 3, I-20126 Milan, Italy
[5] Ist Nazl Fis Nucl, Sez Milano Bicocca, Piazza Sci 3, I-20126 Milan, Italy
关键词
AdS-CFT Correspondence; Black Holes; Nonperturbative Effects; Supersymmetric gauge theory; ELLIPTIC GENERA; SUPERGRAVITY; MANIFOLDS; GEOMETRY;
D O I
10.1007/JHEP05(2016)054
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS(4) static black holes preserving two real supercharges which are dual to a topologically twisted deformation of the ABJM theory. We evaluate in the large N limit the topologically twisted index of the ABJM theory and we show that it correctly reproduces the entropy of the AdS(4) black holes. An extremization of the index with respect to a set of chemical potentials is required. We interpret it as the selection of the exact R-symmetry of the superconformal quantum mechanics describing the horizon of the black hole.
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页数:58
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