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arXiv · hep-th/9703228

Instantons, Three-Dimensional Gauge Theory, and the Atiyah-Hitchin Manifold

N. Dorey·V. V. Khoze·M. P. Mattis·D. Tong·S. Vandoren
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Abstract

We investigate quantum effects on the Coulomb branch of three-dimensional N=4 supersymmetric gauge theory with gauge group SU(2). We calculate perturbative and one-instanton contributions to the Wilsonian effective action using standard weak-coupling methods. Unlike the four-dimensional case, and despite supersymmetry, the contribution of non-zero modes to the instanton measure does not cancel. Our results allow us to fix the weak-coupling boundary conditions for the differential equations which determine the hyper-Kahler metric on the quantum moduli space. We confirm the proposal of Seiberg and Witten that the Coulomb branch is equivalent, as a hyper-Kahler manifold, to the centered moduli space of two BPS monopoles constructed by Atiyah and Hitchin.

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N. Dorey, V. V. Khoze, M. P. Mattis, D. Tong, S. Vandoren. 1997-04-12. Instantons, Three-Dimensional Gauge Theory, and the Atiyah-Hitchin Manifold. https://doi.org/10.1016/s0550-3213(97)00454-9

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