1. Exactly marginal deformations and their supergravity duals
- Author
-
Anthony Ashmore, Michela Petrini, Edward Lødøen Tasker, Daniel Waldram, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), and Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
field theory: conformal ,High Energy Physics - Theory ,deformation: marginal ,gravitation: duality ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,General Physics and Astronomy ,supersymmetry: 1 ,FOS: Physical sciences ,holomorphic ,supergravity: Type IIB ,superpotential ,background: geometry ,High Energy Physics - Theory (hep-th) ,AdS(5) - 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., 5 pages
- Published
- 2022