Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-27
Physics
High Energy Physics
High Energy Physics - Theory
23 pages Institut f\"ur angewandte Mathematik, c/o Lersnerstr. 19, 60322 Frankfurt
Scientific paper
The 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.
No associations
LandOfFree
Quantum Symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Symmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389338