We study the large N limit of the refined topologically twisted index of three-dimensional N = 2 gauge theories with a holographic dual, which is relevant for counting the number of microstates of rotating, magnetically charged and twisted AdS(4) black holes. As a difference with previous computations, we perform a direct saddle point analysis of the relevant matrix model. Among other things we explicitly identify the distribution of gauge magnetic fluxes that contributes at large N. The index exhibits a large N factorized form in agreement with the supergravity expectations based on gravitational blocks and correctly reproduces the entropy of magnetically charged rotating AdS(4) x S-7 black holes.

Hosseini, S., Zaffaroni, A. (2022). The large N limit of topologically twisted indices: a direct approach. JOURNAL OF HIGH ENERGY PHYSICS, 2022(12) [10.1007/JHEP12(2022)025].

The large N limit of topologically twisted indices: a direct approach

Hosseini Seyed Morteza;Zaffaroni A.
2022

Abstract

We study the large N limit of the refined topologically twisted index of three-dimensional N = 2 gauge theories with a holographic dual, which is relevant for counting the number of microstates of rotating, magnetically charged and twisted AdS(4) black holes. As a difference with previous computations, we perform a direct saddle point analysis of the relevant matrix model. Among other things we explicitly identify the distribution of gauge magnetic fluxes that contributes at large N. The index exhibits a large N factorized form in agreement with the supergravity expectations based on gravitational blocks and correctly reproduces the entropy of magnetically charged rotating AdS(4) x S-7 black holes.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Models in String Theory; Matrix Models;
English
6-dic-2022
2022
2022
12
25
open
Hosseini, S., Zaffaroni, A. (2022). The large N limit of topologically twisted indices: a direct approach. JOURNAL OF HIGH ENERGY PHYSICS, 2022(12) [10.1007/JHEP12(2022)025].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/437978
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