2009/07/31 by Gaetano Bertoldi, Benjamin A. Burrington, Amanda W. Peet · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.80.126004
published as Phys.Rev.D80:126004,2009 · 8 pages, references added and regrouped
Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent z≥ 1. We continue our earlier work \citeBertoldi:2009vn, exploring the thermodynamic properties of the "black brane" solutions with horizon topology ℝ2. We find that the black branes satisfy the relation E=(2)/(2+z)Ts where E is the energy density, T is the temperature, and s is the entropy density. This matches the expected behavior for a 2+1 dimensional theory with a scaling symmetry (x1,x2)→ λ(x1,x2), t→ λz t.