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arXiv · hep-th/9504124

Supersymmetric sigma models and the 't Hooft instantons

A. Galperin·E. Sokatchev
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Abstract

Witten's linear sigma model for ADHM instantons possesses a natural $(0,4)$ supersymmetry. We study generalizations of the infrared limit of the model that are invariant under $(4,4)$ supersymmetry. In the case of four space-time dimensions a background with a conformally flat metric and torsion is required. The geometry is specified by a single real scalar function satisfying Laplace's equation. It gives rise to 't Hooft instantons for the gauge group $SU(2)$, instead of the general ADHM instantons for an $SO(n)$ gauge group in the case $(0,4)$.

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A. Galperin, E. Sokatchev. 1995-04-25. Supersymmetric sigma models and the 't Hooft instantons. https://doi.org/10.1088/0264-9381%2F13%2F2%2F004

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