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
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.
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