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Semi-local quantum criticality in string/M-theory

Donos, Aristomenis; Gauntlett, Jerome P.; Pantelidou, Christiana

Authors

Jerome P. Gauntlett

Christiana Pantelidou



Abstract

Semi-local quantum critical behaviour in D − 1 spacetime dimensions can be holographically described by metrics that are conformal to AdS 2 ×R D−2 , with the conformal factor characterised by a parameter η. We analyse such “η-geometries” in a top-down setting by focussing on the U(1)4 truncation of D = 4 N = 8 gauged supergravity. The model has extremal black hole solutions carrying three non-zero electric or magnetic charges which approach AdS 4 in the UV and an η = 1 geometry in the IR. Adding a fourth charge provides a mechanism to resolve the singularity of the η-geometry, replacing it with an AdS 2 ×R 2 factor in the IR, while maintaining a large region where the η-geometry scaling is approximately valid. Some of the magnetically charged black hole solutions preserve supersymmetry while others just preserve it in the IR. Finally, we show that η-geometries, with various values of η, can be obtained from the dimensional reduction of geometries consisting of AdS or Lifshitz geometries with flat directions.

Citation

Donos, A., Gauntlett, J. P., & Pantelidou, C. (2013). Semi-local quantum criticality in string/M-theory. Journal of High Energy Physics, 2013(3), Article 103. https://doi.org/10.1007/jhep03%282013%29103

Journal Article Type Article
Acceptance Date Feb 18, 2013
Publication Date Mar 18, 2013
Deposit Date Dec 10, 2014
Publicly Available Date Mar 28, 2024
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 3
Article Number 103
DOI https://doi.org/10.1007/jhep03%282013%29103
Keywords Black Holes in String Theory, AdS-CFT Correspondence, Holography and condensed matter physics, (AdS/CMT).
Related Public URLs http://arxiv.org/abs/1212.1462

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