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Holographic Q-lattices

Donos, Aristomenis; Gauntlett, Jerome P.

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Authors

Jerome P. Gauntlett



Abstract

We introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. Using a classical gravitational theory with a continuous global symmetry leads to constructions that involve solving ODEs instead of PDEs. We study in detail D = 4 Einstein-Maxwell theory coupled to a complex scalar field with a simple mass term. We construct black holes dual to metallic phases which exhibit a Drude-type peak in the optical conductivity, but there is no evidence of an intermediate scaling that has been reported in other holographic lattice constructions. We also construct black holes dual to insulating phases which exhibit a suppression of spectral weight at low frequencies. We show that the model also admits a novel AdS 3 × R solution.

Citation

Donos, A., & Gauntlett, J. P. (2014). Holographic Q-lattices. Journal of High Energy Physics, 2014(4), Article 040. https://doi.org/10.1007/jhep04%282014%29040

Journal Article Type Article
Acceptance Date Mar 4, 2014
Publication Date Apr 7, 2014
Deposit Date Dec 10, 2014
Publicly Available Date Apr 27, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 4
Article Number 040
DOI https://doi.org/10.1007/jhep04%282014%29040
Keywords Gauge-gravity correspondence, Black Holes in String Theory, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).
Publisher URL 9

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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