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

We compute, in the large N limit, the topologically twisted index of the 3d T[SU(N)] theory, namely the partition function on Sigma gxS1, with a topological twist on the Riemann surface Sigma 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.

Automated summary

In the large N limit, we compute the topologically twisted index of the 3d T[SU(N)] theory, utilizing recent results from five dimensional quiver gauge theories. Our calculation correctly reproduces the entropy of the universal black hole that can be embedded in the holographically dual solution.