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arXiv · 1507.08666

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

Gokce Basar·Aleksey Cherman·Keith R. Dienes·David A. McGady
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Abstract

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 non-supersymmetric confining theories such as pure Yang-Mills theory, a long-standing challenge has been to explicitly show that 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.

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Gokce Basar, Aleksey Cherman, Keith R. Dienes, David A. McGady. 2015-08-10. A 4D-2D equivalence for large-N Yang-Mills theory. https://doi.org/10.1103/physrevd.92.105029

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