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Exactly Marginal Deformations and their Supergravity Duals

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.
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Submitted on : Wednesday, January 5, 2022 - 2:44:00 PM
Last modification on : Friday, January 7, 2022 - 3:40:11 AM

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Anthony Ashmore, Michela Petrini, Edward Tasker, Daniel Waldram. Exactly Marginal Deformations and their Supergravity Duals. 2022. ⟨hal-03512654⟩



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