Supersymmetric sigma models and the 't Hooft instantons
A. Galperin, E. Sokatchev
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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