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Instanton effects in three-dimensional supersymmetric gauge theories with matter

By N. Dorey, D. Tong and S. Vandoren


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

Topics: Natuur- en Sterrenkunde
Publisher: SISSA
Year: 1998
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