Holography for N = 2[superscript *] on S[superscript 4]

Abstract

We find the gravity dual of N = 2[superscript *] super-Yang-Mills theory on S [superscript 4] and use holography to calculate the universal contribution to the corresponding S [superscript 4] free energy at large N and large ’t Hooft coupling. Our result matches the expression previously computed using supersymmetric localization in the field theory. This match represents a non-trivial precision test of holography in a non-conformal, Euclidean signature setting.