Abstract
We consider the space of supersymmetric AdS5 solutions of type IIB supergravity corresponding to the conformal manifold of the dual 4d N=1 conformal field theories. We describe how the background geometry naturally encodes a generalised holomorphic structure, dual to the superpotential of the field theory. Using this perspective, we address the long-standing problem of finding the gravity dual of the generic N=1 deformations of N=4 super Yang-Mills: though we are not able to give it in a fully explicit form, we provide a proof-of-existence of the supergravity solutions. Using this formalism, we analyse the moduli of the supergravity backgrounds and derive a new result for the Hilbert series of the deformed field theories.
Date
Apr 5, 2022 12:00 AM
Location
Virtual
