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arXiv · hep-th/9109047

The supersymmetric sigma model and the geometry of the Weyl-Kac character formula

Orlando Alvarez·I. M. Singer·Paul Windey
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Abstract

Field theoretic and geometric ideas are used to construct a chiral supersymmetric field theory whose ground state is a specified irreducible representation of a centrally extended loop group. The character index of the associated supercharge (an appropriate Dirac operator on $LG/T$) is the Weyl-Kǎc character formula which we compute explicitly by the steepest descent approximation.

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Orlando Alvarez, I. M. Singer, Paul Windey. 1991-09-25. The supersymmetric sigma model and the geometry of the Weyl-Kac character formula. https://doi.org/10.1016/0550-3213(92)90270-l

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