BRST QUANTIZATION OF NON-ABELIAN BF TOPOLOGICAL THEORIES

Details BRST QUANTIZATION OF NON-ABELIAN BF TOPOLOGICAL THEORIES BRST QUANTIZATION OF NON-ABELIAN BF TOPOLOGICAL THEORIES

1995-02-24

arxiv.org/abs/hep-th/9502137v1

Phys.Lett. B354 (1995) 292-299

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, amstex

Scientific paper

10.1016/0370-2693(95)00677-D

The off-shell nilpotent BRST charge and the BRST invariant effective action for non-abelian BF topological theories over D-dimensional manifolds are explicitly constructed. These theories have the feature of being reducible with exactly D-3 stages of reducibility. The adequate extended phase space including the different levels of ghosts for ghosts is explicitly obtained. Using the structure of the resulting BRST charge we show that for topological BF theories the semi-classical approximation completely describes the quantum theory. The independence of the partition function on the metric also follows from our explicit construction in a straightforward way.

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