Holographic stress tensor for non-relativistic theories

Details Holographic stress tensor for non-relativistic theories Holographic stress tensor for non-relativistic theories

2009-07-10

arxiv.org/abs/0907.1846v1

JHEP 0909:009,2009

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, no figures

Scientific paper

10.1088/1126-6708/2009/09/009

We discuss the calculation of the field theory stress tensor from the dual geometry for two recent proposals for gravity duals of non-relativistic conformal field theories. The first of these has a Schrodinger symmetry including Galilean boosts, while the second has just an anisotropic scale invariance (the Lifshitz case). For the Lifshitz case, we construct an appropriate action principle. We propose a definition of the non-relativistic stress tensor complex for the field theory as an appropriate variation of the action in both cases. In the Schrodinger case, we show that this gives physically reasonable results for a simple black hole solution and agrees with an earlier proposal to determine the stress tensor from the familiar AdS prescription. In the Lifshitz case, we solve the linearised equations of motion for a general perturbation around the background, showing that our stress tensor is finite on-shell.

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