Marginal deformations from type IIA supergravity

TL;DR

This paper explores marginal deformations of 3D $ ext{SCFTs}$ with holographic duals in massive type IIA supergravity, computing the conformal manifold and constructing explicit supersymmetric solutions.

Contribution

It introduces a method to construct explicit supersymmetric AdS$_4$ solutions corresponding to marginal deformations using TsT transformations.

Findings

Computed the dimension of the conformal manifold.

Identified a submanifold with enhanced flavor symmetry.

Constructed explicit supersymmetric solutions via TsT transformations.

Abstract

We study marginal deformations of a class of three-dimensional $\mathcal{N}=2$ SCFTs that admit a holographic dual description in massive type IIA supergravity. We compute the dimension of the conformal manifold in these SCFTs and identify a special submanifold with enhanced flavor symmetry. We show how to apply the TsT transformation of Lunin-Maldacena to construct explicit supersymmetric AdS$_4$ solutions of massive type IIA supergravity with non-trivial internal fluxes that are the holographic dual of these marginal deformations. Finally, we also briefly comment on a class of RG flows between some of these SCFTs that also admit a holographic realization.