Exact results for five-dimensional superconformal field theories with gravity duals

Abstract

We apply the technique of supersymmetric localization to exactly compute the S [superscript 5] partition function of several large N superconformal field theories in five dimensions that have AdS6 duals in massive type IIA supergravity. The localization computations are performed in the non-renormalizable effective field theories obtained through relevant deformations of the UV superconformal field theories. We compare the S [superscript 5] free energy to a holographic computation of entanglement entropy in the AdS6 duals and find perfect agreement. In particular, we reproduce the N [superscript 5/2] scaling of the S [superscript 5] free energy that was expected from supergravity.