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 M3 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× S1, 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 AdS6×wS4 and AdS7× S4. We also provide the supersymmetric background and explicitly perform localization for the mixed index on Σg×S1×Sϵ2, filling a gap in the literature.

Hosseini, S., Yaakov, I., & Zaffaroni, A. (2022). The joy of factorization at large N: five-dimensional indices and AdS black holes. JOURNAL OF HIGH ENERGY PHYSICS, 2022(2) [10.1007/JHEP02(2022)097].

The joy of factorization at large N: five-dimensional indices and AdS black holes

Zaffaroni A.
2022

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 M3 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× S1, 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 AdS6×wS4 and AdS7× S4. We also provide the supersymmetric background and explicitly perform localization for the mixed index on Σg×S1×Sϵ2, filling a gap in the literature.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Black Holes in String Theory; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory;
English
Hosseini, S., Yaakov, I., & Zaffaroni, A. (2022). The joy of factorization at large N: five-dimensional indices and AdS black holes. JOURNAL OF HIGH ENERGY PHYSICS, 2022(2) [10.1007/JHEP02(2022)097].
Hosseini, S; Yaakov, I; Zaffaroni, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/372477
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