Nonperturbative black hole entropy and Kloosterman sums

被引：89

作者：

Dabholkar, Atish ^{[1
,2
]}

Gomes, Joao ^{[3
]}

Murthy, Sameer ^{[4
]}

机构：

[1] Univ Paris 06, Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France

[2] LPTHE, CNRS, UMR 7589, F-75005 Paris, France

[3] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

[4] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 03期

基金：

欧洲研究理事会; 英国工程与自然科学研究理事会;

关键词：

Black Holes in String Theory; AdS-CFT Correspondence; Supergravity Models; Superstrings and Heterotic Strings; SIMONS; INVARIANTS; SPACES;

D O I：

10.1007/JHEP03(2015)074

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：

Non-perturbative quantum corrections to supersymmetric black hole entropy often involve nontrivial number-theoretic phases called Kloosterman sums. We show how these sums can be obtained naturally from the functional integral of supergravity in asymptotically AdS(2) space for a class of black holes. They are essentially topological in origin and correspond to charge-dependent phases arising from the various gauge and gravitational Chern-Simons terms and boundary Wilson lines evaluated on Dehn-filled solid 2-torus. These corrections are essential to obtain an integer from supergravity in agreement with the quantum degeneracies, and reveal an intriguing connection between topology, number theory, and quantum gravity. We give an assessment of the current understanding of quantum entropy of black holes.

引用

页数：35