TL;DR
This paper introduces holographic superconductors, explaining their gravitational duals via gauge/gravity duality and exploring their properties across different regimes, linking them to standard superconductor features.
Contribution
It provides an accessible overview of holographic superconductor models and discusses their properties, including open problems, within the gauge/gravity duality framework.
Findings
Reproduces key features of superconductors using holographic models
Analyzes effects of backreaction and magnetic fields on holographic superconductors
Discusses zero temperature limit and open research problems
Abstract
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.
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