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On the thermodynamics of periodic AdS black branes

Donos, Aristomenis; Gauntlett, Jerome P.

Authors

Jerome P. Gauntlett



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 Smarr-type relations involving the boundary stress tensor.

Citation

Donos, A., & Gauntlett, J. P. (2013). On the thermodynamics of periodic AdS black branes. Journal of High Energy Physics, 2013(10), Article 038. https://doi.org/10.1007/jhep10%282013%29038

Journal Article Type Article
Acceptance Date Sep 11, 2013
Publication Date Oct 7, 2013
Deposit Date Dec 10, 2014
Publicly Available Date May 20, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2013
Issue 10
Article Number 038
DOI https://doi.org/10.1007/jhep10%282013%29038
Keywords AdS-CFT Correspondence, Black Holes in String Theory, Holography and condensed matter physics (AdS/CMT).
Related Public URLs http://arxiv.org/pdf/1306.4937v2.pdf

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