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High Energy Physics - Theory, hep-th, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el
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.
