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Introduction to holographic superconductors. (English) Zbl 1246.83009
Papantonopoulos, Eleftherios (ed.), From gravity to thermal gauge theories. The AdS/CFT correspondence. Edited version of the review talks given in the 5th Aegean school on the AdS/CFT correspondence, Adamas, Milos Island, Greece, September 21–26, 2009. Berlin: Springer (ISBN 978-3-642-04863-0/pbk; 978-3-642-04864-7/ebook). Lecture Notes in Physics 828, 313-347 (2011).
Summary: These lectures give an introduction to the theory of holographic superconductors. These are superconductors that have a dual gravitational description using gauge/gravity duality. After introducing a suitable gravitational theory, we discuss its properties in various regimes: the probe limit, the effects of backreaction, the zero temperature limit, and the addition of magnetic fields. Using the gauge/gravity dictionary, these properties reproduce many of the standard features of superconductors. Some familiarity with gauge/gravity duality is assumed. A list of open problems is included at the end.
For the entire collection see [Zbl 1213.00066].

MSC:
83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83C50 Electromagnetic fields in general relativity and gravitational theory
83C22 Einstein-Maxwell equations
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83C57 Black holes
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