Semi-local quantum criticality in string/M-theory

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

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: May 20, 2015
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• 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).
• Public URL: https://durham-repository.worktribe.com/output/1418566
• Related Public URLs: http://arxiv.org/abs/1212.1462