The gravitational index of 5d black holes and black strings

被引：0

作者：

Jan Boruch ^{[1
]}

Roberto Emparan ^{[2
]}

Luca V. Iliesiu ^{[3
]}

Sameer Murthy ^{[1
]}

机构：

[1] University of California,Center for Theoretical Physics and Department of Physics

[2] Institució Catalana de Recerca i Estudis Avançats (ICREA),Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos

[3] Universitat de Barcelona,Department of Mathematics

[4] King’s College London,undefined

来源：

Journal of High Energy Physics | / 2025卷 / 6期

关键词：

Black Holes in String Theory; Supergravity Models; AdS-CFT Correspondence;

D O I：

10.1007/JHEP06(2025)145

中图分类号：

学科分类号：

摘要：

The supersymmetric index of 5d black strings and spinning black holes in M-theory is related to that of 4d black holes in type IIA supergravity when both theories are compactified on the same Calabi-Yau threefold. We find the finite-temperature saddles for the 5d gravitational supersymmetric index by uplifting the recently found attractor saddles of the corresponding 4d index. We study uplifts for two types of geometries: 5d black holes and 5d black strings. For 5d black holes, the uplift guarantees that the index of 4d and 5d black holes match. For 5d black strings, the saddle reproduces the microscopic index at leading order in GN, even without the conventional decoupling limit taken in AdS/CFT. In particular, when the temperature is set to be finite in the 5d flat space region, the black string index is computed from an asymptotically flat solution where the AdS throat is absent. Further, as the temperature is lowered and eventually becomes infinitesimally small in the flat space region, the solution admits a novel decoupling limit in which the AdS3 throat takes the form of a finite-temperature BTZ black hole that is known to compute the index in AdS3/CFT2. This represents the first step towards understanding holography for supersymmetric observables in flat space, away from the decoupling limit.

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