RESUMO
Superconformal field theories (SCFTs) in dimensions greater than 4 have become an integral part in the general understanding of quantum field theory, with many interesting implications in lower dimensions. They are hard to define using traditional methods, but can be engineered in string theory. Recently, a large class of AdS/CFT dualities has been constructed for five-dimensional SCFTs, which further supports their existence and allows for quantitative studies. We confront these dualities with a decisive test. We obtain the partition functions and central charges in gauge theory deformations of the SCFTs and extrapolate the results to the conformal fixed points. In the appropriate large N limits, this precisely matches the AdS/CFT predictions, providing strong support for the proposed dualities.
RESUMO
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.
