Exact results in 5d superconformal theories with gravity duals

I will explain how the S^5 partition function of 5d superconformal field theories with gravity duals may be computed in the large N limit. This involves applying the techniques of localization to non-renormalizable 5d Yang-Mills theories obtained by deformation of these SCFTs by a relevant operator. The result matches exactly the leading supergravity behavior of the holographic entanglement entropy in the dual AdS6 geometry in massive IIA.