Deformations of Lifshitz holography

TL;DR

This paper studies how marginally relevant deformations affect Lifshitz holography, analyzing black hole thermodynamics in quantum critical regimes with UV sensitivities controlled perturbatively.

Contribution

It introduces a detailed analysis of marginal deformations in Lifshitz holography and their impact on black hole thermodynamics and UV behavior.

Findings

Deformation modifies spacetime asymptotics.

Thermodynamics analyzed in T >> Lambda^2 regime.

UV sensitivities are controllable perturbatively.

Abstract

The simplest gravity duals for quantum critical theories with z=2 `Lifshitz' scale invariance admit a marginally relevant deformation. Generic black holes in the bulk describe the field theory with a dynamically generated momentum scale Lambda as well as finite temperature T. We describe the thermodynamics of these black holes in the quantum critical regime where T >> Lambda^2. The deformation changes the asymptotics of the spacetime mildly and leads to intricate UV sensitivities of the theory which we control perturbatively in Lambda^2/T.