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

1 Citation (Scopus)

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 B
Volume373
Issue number3
DOIs
StatePublished - Apr 13 1992
Externally publishedYes

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descent
operators
ground state
geometry
approximation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

The supersymmetric σ-model and the geometry of the Weyl-Kač character formula. / Alvarez, Orlando; Singer, I. M.; Windey, Paul.

In: Nuclear Physics B, Vol. 373, No. 3, 13.04.1992, p. 647-687.

Research output: Contribution to journal › Article

Alvarez, O, Singer, IM & Windey, P 1992, 'The supersymmetric σ-model and the geometry of the Weyl-Kač character formula', Nuclear Physics B, vol. 373, no. 3, pp. 647-687. https://doi.org/10.1016/0550-3213(92)90270-L
Alvarez O, Singer IM, Windey P. The supersymmetric σ-model and the geometry of the Weyl-Kač character formula. Nuclear Physics B. 1992 Apr 13;373(3):647-687. https://doi.org/10.1016/0550-3213(92)90270-L
Alvarez, Orlando ; Singer, I. M. ; Windey, Paul. / The supersymmetric σ-model and the geometry of the Weyl-Kač character formula. In: Nuclear Physics B. 1992 ; Vol. 373, No. 3. pp. 647-687.
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