Generalized homologies for the zero modes of the SU(2) WZNW model

1999/05/12 by Michel Dubois-Violette, Ivan T. Todorov
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP

paper · pdf

published as Lett.Math.Phys. 48 (1999) 323-338 · 24 pages, AMSLaTeX, available at http://qcd.th.u-psud.fr

arxiv created 1999/05/12 · arxiv updated 2009/11/30

Abstract

We generalize the BRS method for the (finite-dimensional) quantum gauge theory involved in the zero modes of the monodromy extended SU(2) WZNW model. The generalization consists of a nilpotent operator Q such that Q^h=0 (h=k+2=2,3,... being the height of the current algebra representation) acting on an extended state space. The physical subquotient is identified with the direct sum \oplusinf^h-1_n=1ker(Qⁿ)/\im(Q^h-n).

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