Duality Symmetry in Softly Broken N=2 Gauge Theories

Details Duality Symmetry in Softly Broken N=2 Gauge Theories Duality Symmetry in Softly Broken N=2 Gauge Theories

1998-04-04

arxiv.org/abs/hep-th/9804038v1

Nucl.Phys. B533 (1998) 373-405

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 11 postscript figures, LaTeX file

Scientific paper

10.1016/S0550-3213(98)00490-8

We study the soft breaking of N=2 self-dual gauge theories down to N=0 by promoting the coupling constant and hypermultiplet masses to spurions, and we analyze the microscopic duality symmetry in the resulting models. Explicit formulae are given for the Seiberg-Witten periods and couplings in the case of SU(2), and we perform a numerical study of the non-supersymmetric vacuum structure in the case of the mass-deformed N=4 SU(2) gauge theory. Although the softly broken model has a well-defined behavior under the duality symmetry, the stable vacua are in a confining phase. We also extend some of the results to the self-dual theories with classical gauge groups, and we obtain the RG equation for these models.

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