The joy of factorization at large N: five-dimensional indices and AdS black holes
The joy of factorization at large N: five-dimensional indices and AdS black holes
We discuss the large N factorization properties of five-dimensional supersymmetric partition functions for CFT with a holographic dual. We consider partition functions on manifolds of the form M=M3×Sϵ2, where ϵ is an equivariant parameter for rotation. We show that, when M 3 is a squashed three-sphere, the large N partition functions can be obtained by gluing elementary blocks associated with simple physical quantities. The same is true for various observables of the theories on M 3= Σ g× S 1, where Σ g is a Riemann surface of genus g, and, with a natural assumption on the form of the saddle point, also for the partition function, corresponding to either the topologically twisted index or a mixed one. This generalizes results in three and four dimensions and correctly reproduces the entropy of known black objects in AdS 6× wS 4 and AdS 7× S 4. We also provide the supersymmetric background and explicitly perform localization for the mixed index on Σg×S1×Sϵ2, filling a gap in the literature.
AdS-CFT Correspondence, Black Holes in String Theory, Field Theories in Higher Dimensions, Supersymmetric Gauge Theory
Hosseini, Seyed Morteza
42c6afc6-3883-4313-b121-67feebb2ad54
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Zaffaroni, Alberto
5fbf618a-9dcf-4691-9642-331f9b136040
14 February 2022
Hosseini, Seyed Morteza
42c6afc6-3883-4313-b121-67feebb2ad54
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Zaffaroni, Alberto
5fbf618a-9dcf-4691-9642-331f9b136040
Hosseini, Seyed Morteza, Yaakov, Itamar and Zaffaroni, Alberto
(2022)
The joy of factorization at large N: five-dimensional indices and AdS black holes.
Journal of High Energy Physics, 2022 (2), [97].
(doi:10.1007/JHEP02(2022)097).
Abstract
We discuss the large N factorization properties of five-dimensional supersymmetric partition functions for CFT with a holographic dual. We consider partition functions on manifolds of the form M=M3×Sϵ2, where ϵ is an equivariant parameter for rotation. We show that, when M 3 is a squashed three-sphere, the large N partition functions can be obtained by gluing elementary blocks associated with simple physical quantities. The same is true for various observables of the theories on M 3= Σ g× S 1, where Σ g is a Riemann surface of genus g, and, with a natural assumption on the form of the saddle point, also for the partition function, corresponding to either the topologically twisted index or a mixed one. This generalizes results in three and four dimensions and correctly reproduces the entropy of known black objects in AdS 6× wS 4 and AdS 7× S 4. We also provide the supersymmetric background and explicitly perform localization for the mixed index on Σg×S1×Sϵ2, filling a gap in the literature.
Text
2111.03069
- Accepted Manuscript
Text
JHEP02(2022)097
- Version of Record
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Accepted/In Press date: 2 February 2022
Published date: 14 February 2022
Keywords:
AdS-CFT Correspondence, Black Holes in String Theory, Field Theories in Higher Dimensions, Supersymmetric Gauge Theory
Identifiers
Local EPrints ID: 473219
URI: http://eprints.soton.ac.uk/id/eprint/473219
ISSN: 1126-6708
PURE UUID: 3ea14ec1-2a39-4466-aca9-db3f6a1d89aa
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Date deposited: 12 Jan 2023 18:03
Last modified: 17 Mar 2024 04:17
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Author:
Seyed Morteza Hosseini
Author:
Itamar Yaakov
Author:
Alberto Zaffaroni
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