Marginal Deformations of Non-Relativistic Field Theories

TL;DR

This paper constructs supergravity duals for marginal deformations of non-relativistic and supersymmetric field theories, exploring their effects on symmetries and including examples with various dynamical exponents.

Contribution

It introduces new supergravity duals for marginal deformations of non-relativistic theories, extending the understanding of their supersymmetric and scaling properties.

Findings

Deformations preserve supersymmetry.

Examples include infinite families with z=2 and general z >= 1.

Deformations correspond to phases in superpotentials.

Abstract

We construct the supergravity duals of marginal deformations of a (0,2) Landau-Ginsburg theory that describes the supersymmetric lowest Landau level. These deformations preserve supersymmetry and it is proposed that they are associated with the introduction of a phase in the (0,2) superpotential. We also consider marginal deformations of various field theories that exhibit Schrodinger symmetry and Lifshitz scaling. This includes countably-infinite examples with dynamical exponent z=2 based on the Sasaki-Einstein spaces Y^{p,q} and L^{p,q,r}, as well as an example with general dynamical exponent z >= 1.