Lectures on Holographic Superfluidity and Superconductivity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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39 pages, 9 figures, lectures given at the Trieste Spring School on Superstring Theory and Related Topics; v2 small correction

Scientific paper

10.1088/1751-8113/42/34/343001

Four lectures on holography and the AdS/CFT correspondence applied to condensed matter systems. The first lecture introduces the concept of a quantum phase transition. The second lecture discusses linear response theory and Ward identities. The third lecture presents transport coefficients derived from AdS/CFT that should be applicable in the quantum critical region associated to a quantum phase transition. The fourth lecture builds in the physics of a superconducting or superfluid phase transition to the simple holographic model of the third lecture.

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