BF Topological Theories and Infinitely Reducible Systems

Details BF Topological Theories and Infinitely Reducible Systems BF Topological Theories and Infinitely Reducible Systems

1996-04-29

arxiv.org/abs/hep-th/9604188v1

Phys.Lett.B393:337-341,1997

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

10.1016/S0370-2693(96)01641-3

We present a rigurous disscusion for abelian $BF$ theories in which the base manifold of the $U(1)$ bundle is homeomorphic to a Hilbert space. The theory has an infinte number of stages of reducibility. We specify conditions on the base manifold under which the covarinat quantization of the system can be performed unambiguously. Applications of the formulation to the superparticle and the supertstring are also discussed.

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