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On the Coulomb branch of a marginal deformation of Script N = 4 SUSY Yang-Mills / Nick Dorey; Timothy Hollowood

Journal of High Energy Physics, Volume: "06", Issue: 06, Pages: 036 - 036

Swansea University Author: Timothy, Hollowood

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Abstract

We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa28531
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Abstract: We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}} U Sigma_{n_{2}} U Sigma_{n_{3}} of genus N=n_{1}+n_{2}+n_{3}. Each sub-branch intersects with a family of Higgs and Confining branches permuted by SL(2,Z) transformations. We determine the curve by solving a related matrix model in the planar limit according to the prescription of Dijkgraaf and Vafa, and also by explicit instanton calculations using a form of localization on the instanton moduli space. We find that Sigma_{n} coincides with the spectral curve of the n-body Ruijsenaars-Schneider system. Our results imply that the theory on each sub-branch is holomorphically equivalent to certain five-dimensional gauge theory with eight supercharges. This equivalence also implies the existence of novel confining branches in five
College: College of Science
Issue: 06
Start Page: 036
End Page: 036