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arXiv · hep-th/9704069

Generalized cohomologies and the physical subspace of the $SU(2)$ WZNW model

Michel Dubois-Violette·Ivan T. Todorov
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Abstract

The zero modes of the monodromy extended SU(2) WZNW model give rise to a gauge theory with a finite dimensional state space. A generalized BRS operator $A$ such that $A^h=0 (h=k+2=3,4,...$ being the height of the current algebra representation) acts in a (2h-1)-dimensional indefinite metric space $H_I$ of quantum group invariant vectors. The generalized cohomologies $Ker A^n/ Im A^{h-n} (n=1,..., h-1)$ are 1-dimensional. Their direct sum spans the physical subquotient of $H_I$.

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Michel Dubois-Violette, Ivan T. Todorov. 1997-04-09. Generalized cohomologies and the physical subspace of the $SU(2)$ WZNW model. https://arxiv.org/abs/hep-th/9704069

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