Quantum Symmetry

dc.creatorHäring, Reinhard
dc.date1993-07-27
dc.date1993-10-12
dc.date.accessioned2026-07-07T09:01:17Z
dc.date.available2026-07-07T09:01:17Z
dc.descriptionThe representations of the observable algebra of a low dimensional quantum field theory form the objects of a braided tensor category. The search for gauge symmetry in the theory amounts to finding an algebra which has the same representation category. In this paper we try to establish that every quantum field theory satisfying some basic axioms posseses a weak quasi Hopf algebra as gauge symmetry. The first step is to construct a functor from the representation category to the category of finite dimensional vector spaces. Given such a functor we can use a generalized reconstruction theorem to find the symmetry algebra. It is shown how this symmetry algebra is used to build a gauge covariant field algebra and we investigate the question why this generality is necessary.
dc.description23 pages Institut für angewandte Mathematik, c/o Lersnerstr. 19, 60322 Frankfurt
dc.identifierhttps://arxiv.org/abs/hep-th/9307164
dc.identifierhttp://arxiv.org/abs/hep-th/9307164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148271
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Symmetry
dc.typetext

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