The supersymmetric σ-model and the geometry of the Weyl-Kač character formula

1991/09/25 by Orlando Alvarez, I. M. Singer, Paul Windey · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1016/0550-3213(92)90270-l

published as Nucl.Phys. B373 (1992) 647-687 · 40 pages

arxiv created 1991/09/25 · openalex publication_date 1992/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications

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