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

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

1991-09-25

arxiv.org/abs/hep-th/9109047v1

Nucl.Phys. B373 (1992) 647-687

Physics

High Energy Physics

High Energy Physics - Theory

40 pages

Scientific paper

10.1016/0550-3213(92)90270-L

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-K\v{a}c character formula which we compute explicitly by the steepest descent approximation.

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