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

Autor: Seyed Morteza Hosseini, Alberto Zaffaroni
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 12, Pp 1-44 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP12(2022)025
Popis: Abstract We study the large N limit of the refined topologically twisted index of three-dimensional N $$ \mathcal{N} $$ = 2 gauge theories with a holographic dual, which is relevant for counting the number of microstates of rotating, magnetically charged and twisted AdS4 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 AdS4 × S 7 black holes.
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