Abstract
We study the large N limit of the refined topologically twisted index of three-dimensional \( \mathcal{N} \) = 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 × S7 black holes.
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Hosseini, S.M., Zaffaroni, A. The large N limit of topologically twisted indices: a direct approach. J. High Energ. Phys. 2022, 25 (2022). https://doi.org/10.1007/JHEP12(2022)025
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DOI: https://doi.org/10.1007/JHEP12(2022)025