Supersymmetric gauge theories on squashed five-spheres and their gravity duals

Understand

We construct the gravity duals of large N supersymmetric gauge theories defined on squashed five-spheres with SU(3) x U(1) symmetry.

• These five-sphere backgrounds are continuously connected to the round sphere, and we find a one-parameter family of 3/4 BPS deformations and a two-parameter family of (generically) 1/4 BPS deformations.
• The gravity duals are constructed in Euclidean Romans F(4) gauged supergravity in six dimensions, and uplift to massive type IIA supergravity.
• We holographically renormalize the Romans theory, and use our general result to compute the renormalized on-shell actions for the solutions.