Holography for $\mathcal{N}=2^{\ast }$ on $S^4$

Abstract

We find the gravity dual of $\mathcal{N}=2^{\ast }$ super-Yang-Mills theory on $S^4$ and use holography to calculate the universal contribution to the corresponding $S^4$ 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.

31 pages + appendices, 3 figures

References in corpus (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on SUSY Gauge Theories on Three-Sphere
• Supersymmetric Gauge Theories on the Five-Sphere
• Gauged N=4 supergravities

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