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

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.

40 pages

Cited by in corpus (2)

• New Strings for Old Veneziano Amplitudes I.Analytical Treatment
• New strings for old Veneziano amplitudes II. Group-theoretic treatment