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

Orlando Alvarez; I. M. Singer; Paul Windey

doi:10.1016/0550-3213(92)90270-L

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

Orlando Alvarez, I. M. Singer, Paul Windey

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	647-687
Number of pages	41
Journal	Nuclear Physics, Section B
Volume	373
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(92)90270-L
State	Published - Apr 13 1992
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(92)90270-L

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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-Ka{\v c} character formula which we compute explicitly by the steepest-descent approximation.",

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