The supersymmetric sigma model and the geometry of the Weyl-Kac character formula
Orlando Alvarez, I. M. Singer, Paul Windey
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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