On the thermodynamics of periodic AdS black branes

Abstract

We consider asymptotically AdS black brane solutions that are dual to CFTs with periodic dependence on the spatial directions, arising from either a spontaneous or an explicit breaking of translational symmetry. We derive a simple expression for the variation of the free-energy with respect to changing the periods. This explains some observations, based on numerics, that have arisen in the explicit construction of thermodynamically preferred black holes in the case that the spatial directions are infinite in extent and the symmetry is spontaneously broken. It also leads to simple Smarr-type relations involving the boundary stress tensor..

18 pages. Smarr relations strengthened. References added

References in corpus (4)

• Effective Holographic Theories for low-temperature condensed matter systems
• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• Holographic Charge Density Waves
• The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains

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