The gravity dual of supersymmetric gauge theories on a squashed five-sphere

Understand

We present the gravity dual of large N supersymmetric gauge theories on a squashed five-sphere.

• The one-parameter family of solutions is constructed in Euclidean Romans F(4) gauged supergravity in six dimensions, and uplifts to massive type IIA supergravity.
• By renormalizing the theory with appropriate counterterms we evaluate the renormalized on-shell action for the solutions.
• We also evaluate the large N limit of the gauge theory partition function, and find precise agreement.