Lectures on Holographic Superfluidity and Superconductivity
Christopher P. Herzog

TL;DR
This paper provides an overview of holographic methods applied to condensed matter physics, focusing on quantum phase transitions, transport properties, and superfluidity within the AdS/CFT framework.
Contribution
It offers a comprehensive introduction to holographic superfluidity and superconductivity, connecting theoretical models to quantum critical phenomena.
Findings
Transport coefficients from AdS/CFT applicable near quantum critical points
Holographic models describe superfluid and superconducting phase transitions
Insights into quantum phase transitions via holographic duality
Abstract
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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