Generalized homologies for the zero modes of the SU(2) WZNW model
Michel Dubois-Violette, Ivan T. Todorov
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 Qh=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 h-1n=1(Qn)/(Qh-n).
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