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Lifshitz Gravity for Lifshitz Holography · Around

2012

Lifshitz Gravity for Lifshitz Holography

Griffin, Tom, Horava, Petr, Melby-Thompson, Charles M.

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We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z.

First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter.
Then we perform holographic renormalization of HL gravity, and show how it reproduces the full structure of the z=2 anisotropic Weyl anomaly in dual field theories in 2+1 dimensions, while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly.

Built on

Cambridge U.P., 1995
P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics · 1995
Earlier work this paper cites.
M. Henningson and K. Skenderis, The Holographic Weyl Anomaly
1998
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P. Kraus, F. Larsen, and R. Siebelink, The Gravitational Action in Asymptotically AdS and Flat Spacetimes
1999
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J. de Boer, E. P. Verlinde, and H. L. Verlinde, On the Holographic Renormalization Group
2000
Earlier work this paper cites.
J. de Boer, The Holographic Renormalization Group
2001
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K. Skenderis, Lecture Notes on Holographic Renormalization
2002
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2009

Cited alongside, same era.

M. Taylor, Non-relativistic Holography

Cited in the paper.

M. Baggio, J. de Boer, and K. Holsheimer, Anomalous Breaking of Anisotropic Scaling Symmetry in the Quantum Lifshitz Model

Cited in the paper.

M. Baggio, J. de Boer, and K. Holsheimer, Hamilton-Jacobi Renormalization for Lifshitz Spacetime

Cited in the paper.

I. Papadimitriou and K. Skenderis, AdS/CFT Correspondence and Geometry

Cited in the paper.

(to appear)

T. Griffin, P. Hořava, and C. M. Melby-Thompson, Anisotropic Weyl Anomalies and Lifshitz Holography

Cited in the paper.

S. Janiszewski and A. Karch, String Theory Embeddings of Non-relativistic Field Theories and their Holographic Hořava Gravity Duals

Cited in the paper.

Later among the works it cites.

T. Griffin, P. Hořava, and C. M. Melby-Thompson, Conformal Lifshitz Gravity from Holography

2012

Closest in time.