TY - JOUR

T1 - 4D-2D equivalence for large- N Yang-Mills theory

AU - Başar, Gökçe

AU - Cherman, Aleksey

AU - Dienes, Keith R.

AU - McGady, David A.

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/11/20

Y1 - 2015/11/20

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84948747147&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84948747147&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.92.105029

DO - 10.1103/PhysRevD.92.105029

M3 - Article

AN - SCOPUS:84948747147

SN - 1550-7998

VL - 92

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 10

M1 - 105029

ER -