Abstract
We study marginal deformations of a class of three-dimensional 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_44 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.
Highlights
Generic CFTs in more than two dimensions do not possess exactly marginal operators and are isolated
We show how to apply the TsT transformation of Lunin-Maldacena to construct explicit supersymmetric AdS4 solutions of massive type IIA supergravity with non-trivial internal fluxes that are the holographic dual of these marginal deformations
In 4d SCFTs with at least N = 1 supersymmetry one can engineer many examples of theories with exactly marginal operators. In many of these examples, the existence of the marginal operators is related to the fact that the Yang-Mills coupling in a non-Abelian gauge theory is classically marginal and quantum corrections to its anomalous dimension may cancel due to supersymmetry [4]
Summary
Generic CFTs in more than two dimensions do not possess exactly marginal operators and are isolated. In many of these examples, the existence of the marginal operators is related to the fact that the Yang-Mills coupling in a non-Abelian gauge theory is classically marginal and quantum corrections to its anomalous dimension may cancel due to supersymmetry [4] This leads to the favorable situation in which the conformal manifold has a weakly coupled region which can be accessed by employing perturbation theory, see for example [5] for a recent discussion and [6] for some explicit examples. We assume that the sum of the Chern-Simons couplings for all gauge groups does not vanish These theories, break parity and in the large N limit are candidate holographic duals to supersymmetric AdS4 solutions in massive IIA supergravity [13, 14]. The three appendices contain our supergravity conventions as well as some of the technical details related to the TsT transformation
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