Mathematics – Quantum Algebra
Scientific paper
1999-05-12
Lett.Math.Phys. 48 (1999) 323-338
Mathematics
Quantum Algebra
24 pages, AMSLaTeX, available at http://qcd.th.u-psud.fr
Scientific paper
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 $\oplusinf^{h-1}_{n=1}\ker(Q^n)/\im(Q^{h-n})$.
Dubois-Violette Michel
Todorov Ivan T.
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