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

Abstract

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.

Keywords

• AdS-CFT Correspondence
• Black Holes in String Theory
• Conformal Field Models in String Theory
• Matrix Models