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Thermal N=4 supersymmetric Yang-Mills theory as a 2D Coulomb gas

Sean Hartnoll, Prem Kumar Orcid Logo

Physical Review D, Volume: 76, Issue: 2

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.76.026005

Abstract

We consider N=4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S3. We show that, at finite weak ’t Hooft coupling, a sector of the theory is naturally described as a two-dimensional Coulomb gas of complex eigenvalues, ΦJ+iA0, valued on the c...

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Published in: Physical Review D
Published: 2007
URI: https://cronfa.swan.ac.uk/Record/cronfa16151
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Abstract: We consider N=4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S3. We show that, at finite weak ’t Hooft coupling, a sector of the theory is naturally described as a two-dimensional Coulomb gas of complex eigenvalues, ΦJ+iA0, valued on the cylinder. In the low temperature confined phase the eigenvalues condense onto a strip encircling the cylinder, while the high temperature deconfined phase is characterized by an ellipsoidal droplet of eigenvalues.
College: Faculty of Science and Engineering
Issue: 2