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

dc.creatorDubois-Violette, Michel
dc.creatorTodorov, Ivan T.
dc.date1997-04-09
dc.date.accessioned2026-07-07T09:14:37Z
dc.date.available2026-07-07T09:14:37Z
dc.descriptionThe 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 $H_I$.
dc.description12 pages, Latex2e, available at http://qcd.th.u-psud.fr
dc.identifierhttps://arxiv.org/abs/hep-th/9704069
dc.identifierhttp://arxiv.org/abs/hep-th/9704069
dc.identifierLett.Math.Phys. 42 (1997) 183-192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152735
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleGeneralized cohomologies and the physical subspace of the $SU(2)$ WZNW model
dc.typetext

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