Topologically twisted index of T[SU(N)] at large N

Abstract

Abstract We compute, in the large N limit, the topologically twisted index of the 3d T[SU(N)] theory, namely the partition function on $$ {\Sigma}_{\mathfrak{g}}\times {S}^1 $$ Σ g × S 1 , with a topological twist on the Riemann surface $$ {\Sigma}_{\mathfrak{g}} $$ Σ g . To provide an expression for this quantity, we take advantage of some recent results obtained for five dimensional quiver gauge theories. In case of a universal twist, we correctly reproduce the entropy of the universal black hole that can be embedded in the holographically dual solution.