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

Orlando Alvarez, I. M. Singer, Paul Windey

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Field theoretic and geometric ideas are used to construct a chiral supersymmetric field theory for which the 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-Kač character formula which we compute explicitly by the steepest-descent approximation.

Original languageEnglish (US)
Pages (from-to)647-687
Number of pages41
JournalNuclear Physics, Section B
Volume373
Issue number3
DOIs
StatePublished - Apr 13 1992
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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