Lifshitz from AdS at finite temperature and top down models

Abstract

We construct analytically an asymptotically Lifshitz black brane with dynamical exponent z=1+epsilon^2 in an Einstein-Proca model, where epsilon is a small parameter. In previous work we showed that the holographic dual QFT is a deformation of a CFT by the time component of a vector operator and the parameter epsilon is the corresponding deformation parameter. In the black brane background this operator additionally acquires a vacuum expectation value. We explain how the QFT Ward identity associated with Lifshitz invariance leads to a conserved mass and compute analytically the thermodynamic quantities showing that they indeed take the form implied by Lifshitz invariance. In the second part of the paper we consider top down Lifshitz models with dynamical exponent close to one and show that they can be understood in terms of vector deformations of conformal field theories. However, in all known cases, both the conformal field theory and its Lifshitz deformations have modes that violate the Breitenlohner-Freedman bound.

35 pages

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Cited by in corpus (16)

• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Lifshitz holography
• Lifshitz holography: The whole shebang
• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography
• Bulk Viscosity in Holographic Lifshitz Hydrodynamics
• A Massive Quasi-normal Mode in the Holographic Lifshitz Theory
• Lifshitz flows in IIB and dual field theories
• An Hamilton-Jacobi formulation of anisotropic inflation
• Schrodinger Holography for z<2
• Holographic quenches towards a Lifshitz point
• Black holes with halos
• Holographic Lifshitz flows
• Are there Goldstone bosons in $d\le z+1$ ?
• Drude weight and Mazur-Suzuki bounds in holography
• On black hole thermodynamics with a momentum relaxation