English

Introduction to Holographic Superconductors

High Energy Physics - Theory 2015-05-18 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1002.1722,
  title  = {Introduction to Holographic Superconductors},
  author = {Gary T. Horowitz},
  journal= {arXiv preprint arXiv:1002.1722},
  year   = {2015}
}

Comments

34 pages, 10 figures, to appear in the proceedings of the 5th Aegean Summer School, "From Gravity to Thermal Gauge Theories: the AdS/CFT Correspondence"; v2: references added

R2 v1 2026-06-21T14:44:47.775Z