S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 59 pages, no figures. Minor improvements, references added

Scientific paper

10.1088/1126-6708/2004/08/043

We study an exactly marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N) using field theory and string theory methods. The classical theory has a Higgs branch for rational values of the deformation parameter. We argue that the quantum theory also has an S-dual confining branch which cannot be seen classically. The low-energy effective theory on these branches is a six-dimensional non-commutative gauge theory with sixteen supercharges. Confinement of magnetic and electric charges, on the Higgs and confining branches respectively, occurs due to the formation of BPS-saturated strings in the low energy theory. The results also suggest a new way of deconstructing Little String Theory as a large-N limit of a confining gauge theory in four dimensions.

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