Anti-de Sitter space, thermal phase transition, and confinement in gauge theories

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations


The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes inAnti-de Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale "holographically" with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry.

Original languageEnglish (US)
Title of host publicationThe Oskar Klein Memorial Lectures 1988-1999
PublisherWorld Scientific Publishing Co.
Number of pages31
ISBN (Electronic)9789814571616
ISBN (Print)9789814571609
StatePublished - Jan 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Anti-de Sitter space, thermal phase transition, and confinement in gauge theories'. Together they form a unique fingerprint.

Cite this