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arXiv · 2112.08375

Exactly Marginal Deformations and their Supergravity Duals

Anthony Ashmore·Michela Petrini·Edward Tasker·Daniel Waldram
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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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Anthony Ashmore, Michela Petrini, Edward Tasker, Daniel Waldram. 2021-12-15. Exactly Marginal Deformations and their Supergravity Duals. https://doi.org/10.1103/physrevlett.128.191601

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