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

2022/09/19 by Hosseini, Seyed Morteza, Zaffaroni, Alberto · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2209.09274

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 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 × S7 black holes.

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