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Condensed Matter and AdS/CFT

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From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence

Part of the book series: Lecture Notes in Physics ((LNP,volume 828))

Abstract

I review two classes of strong coupling problems in condensed matter physics, and describe insights gained by application of the AdS/CFT correspondence. The first class concerns non-zero temperature dynamics and transport in the vicinity of quantum critical points described by relativistic field theories. I describe how relativistic structures arise in models of physical interest, present results for their quantum critical crossover functions and magneto-thermoelectric hydrodynamics. The second class concerns symmetry breaking transitions of two-dimensional systems in the presence of gapless electronic excitations at isolated points or along lines (i.e. Fermi surfaces) in the Brillouin zone. I describe the scaling structure of a recent theory of the Ising-nematic transition in metals, and discuss its possible connection to theories of Fermi surfaces obtained from simple AdS duals.

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Acknowledgements

Many of the ideas reviewed in Sect. 9.8 are due to Max Metlistki [65]; I also thank him for valuable comments on the manuscript. I thank the participants of the school for their interest, and for stimulating discussions. This research was supported by the National Science Foundation under grant DMR-0757145, by the FQXi foundation, and by a MURI grant from AFOSR.

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  1. Department of Physics, Harvard University, Cambridge, MA, 02138, USA

    Subir Sachdev

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Correspondence to Subir Sachdev .

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  1. Dept.Physics, National Technical University, Zografou Campus, Athens, 157 80, Greece

    Eleftherios Papantonopoulos

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Sachdev, S. (2011). Condensed Matter and AdS/CFT. In: Papantonopoulos, E. (eds) From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence. Lecture Notes in Physics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04864-7_9

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  • DOI: https://doi.org/10.1007/978-3-642-04864-7_9

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