Supersymmetric sigma models and the 't Hooft instantons

Details Supersymmetric sigma models and the 't Hooft instantons Supersymmetric sigma models and the 't Hooft instantons

1995-04-25

arxiv.org/abs/hep-th/9504124v1

Class.Quant.Grav. 13 (1996) 161-170

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex file

Scientific paper

10.1088/0264-9381/13/2/004

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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