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An introduction to gauge-gravity duality and its application in condensed matter

Green, AG; (2013) An introduction to gauge-gravity duality and its application in condensed matter. Contemporary Physics , 54 (1) 33 - 48. 10.1080/00107514.2013.779477. Green open access

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Abstract

The past few years have witnessed a remarkable crossover of string theoretical ideas from the abstract world of geometrical forms to the concrete experimental realm of condensed matter physics. The basis for this – variously known as holography, the AdS/CFT correspondence or gauge-gravity duality – comes from notions right at the cutting edge of string theory. Nevertheless, the insights afforded can often be expressed in ways very familiar to condensed matter physicists. The aim of this short, introductory review is to survey the ideas underpinning this crossover, in a way that – as far as possible – strips them of sophisticated mathematical formalism, whilst at the same time retaining their fundamental essence. I will sketch the areas in which progress has been made to date and highlight where the challenges and open questions lie. Finally, I will attempt to give a perspective upon these ideas. What contribution can we realistically expect from this approach and how might it be accommodated into the canon of condensed matter theory? Inevitably, any attempt to do this in such a rapidly evolving field will be superseded by events. Nevertheless, I hope that this will provide a useful way to think about gauge-gravity duality and the uncharted directions in which it might take us.

Type: Article
Title: An introduction to gauge-gravity duality and its application in condensed matter
Open access status: An open access version is available from UCL Discovery
DOI: 10.1080/00107514.2013.779477
Publisher version: http://dx.doi.org/10.1080/00107514.2013.779477
Language: English
Additional information: "This is an Author's Original Manuscript of an article whose final and definitive form, the Version of Record, has been published in the Contemporary Physics 25/04/2013 © copyright Taylor & Francis, available online at: http://www.tandfonline.com/10.1080/00107514.2013.779477."
Keywords: Gauge-gravity duality, Condensed matter, Holographic duality, Quantum criticality
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: http://discovery.ucl.ac.uk/id/eprint/1399783
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