1. Exactly Marginal Deformations and their Supergravity Duals
- Author
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Ashmore, Anthony, Petrini, Michela, Tasker, Edward, and Waldram, Daniel
- Subjects
High Energy Physics - Theory - Abstract
We study the space of supersymmetric AdS$_5$ solutions of type IIB supergravity corresponding to the conformal manifold of the dual $\mathcal{N}=1$ conformal field theory. We show that the background geometry naturally encodes a generalised holomorphic structure, dual to the superpotential of the field theory, with the existence of the full solution following from a continuity argument. In particular, this provides a solution to the long-standing problem of finding the gravity dual of the generic $\mathcal{N}=1$ deformations of $\mathcal{N}=4$ conformal field theory. Using this formalism, we derive a new result for the Hilbert series of the deformed field theories., Comment: 5 pages
- Published
- 2021
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