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arXiv · hep-th/9803065

Instanton Effects in Three-Dimensional Supersymmetric Gauge Theories with Matter

N. Dorey·D. Tong·S. Vandoren
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Abstract

Using standard field theory techniques we compute perturbative and instanton contributions to the Coulomb branch of three-dimensional supersymmetric QCD with N=2 and N=4 supersymmetry and gauge group SU(2). For the N=4 theory with one massless flavor, we confirm the proposal of Seiberg and Witten that the Coulomb branch is the double-cover of the centered moduli space of two BPS monopoles constructed by Atiyah and Hitchin. Introducing a hypermultiplet mass term, we show that the asymptotic metric on the Coulomb branch coincides with the metric on Dancer's deformation of the monopole moduli space. For the N=2 theory with $N_f$ flavors, we compute the one-loop corrections to the metric and complex structure on the Coulomb branch. We then determine the superpotential including one-loop effects around the instanton background. These calculations provide an explicit check of several results previously obtained by symmetry and holomorphy arguments.

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N. Dorey, D. Tong, S. Vandoren. 1998-03-08. Instanton Effects in Three-Dimensional Supersymmetric Gauge Theories with Matter. https://doi.org/10.1088/1126-6708%2F1998%2F04%2F005

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