4D-2D equivalence for large- N Yang-Mills theory

Gökçe Başar, Aleksey Cherman, Keith R. Dienes, David A. McGady

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


General string-theoretic considerations suggest that four-dimensional large-N gauge theories should have dual descriptions in terms of two-dimensional conformal field theories. However, for nonsupersymmetric confining theories such as pure Yang-Mills theory, a long-standing challenge has been to explicitly show that any such dual descriptions actually exist. In this paper, we consider the large-N limit of four-dimensional pure Yang-Mills theory compactified on a three-sphere in the solvable limit where the sphere radius is small compared to the strong length scale, and demonstrate that the confined-phase spectrum of this gauge theory coincides with the spectrum of an irrational two-dimensional conformal field theory.

Original languageEnglish (US)
Article number105029
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
StatePublished - Nov 20 2015

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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