Deformations of Lifshitz Holography in $(n+1)$-dimensions

Abstract

We investigate deformations of Lifshitz holography in $(n+1)$ dimensional spacetime. After discussing the situation for general Lifshitz scaling symmetry parameter $z$, we consider $z=n-1$ and the associated marginally relevant operators. These operators are dynamically generated by a momentum scale $\Lambda \sim 0$ and correspond to slightly deformed Lifshitz spacetimes via a holographic picture. We obtain renormalization group flow at finite temperature from UV Lifshitz to IR AdS, and evaluate how physical quantities such as the free energy density and the energy density depend on $\log ({\Lambda }^z/T)$ in the quantum critical regime as ${\Lambda }^z/T\to 0$.

27 pages, 10 figures with multiple plots

References in corpus (6)

• Black holes in asymptotically Lifshitz spacetime
• Holographic stress tensor for non-relativistic theories
• Holography for asymptotically locally Lifshitz spacetimes
• Pathologies in Asymptotically Lifshitz Spacetimes
• Holographic Renormalization for Asymptotically Lifshitz Spacetimes
• Flows involving Lifshitz solutions

Cited by in corpus (4)

• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
• Non-Local Deformation of a Supersymmetric Field Theory
• On the Marginally Relevant Operator in z=2 Lifshitz Holography
• Deformations of Lifshitz holography with the Gauss-Bonnet term in ($n+1$) dimensions