Gauged Wess-Zumino terms and Equivariant Cohomology

Details Gauged Wess-Zumino terms and Equivariant Cohomology Gauged Wess-Zumino terms and Equivariant Cohomology

1994-07-29

arxiv.org/abs/hep-th/9407196v1

Phys.Lett. B341 (1994) 153-159

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, uuencoded compressed .dvi file (uses AMSFonts 2.1+), QMW-PH-94-22

Scientific paper

10.1016/0370-2693(94)90304-2

We summarize some results obtained on the problem of gauging the Wess--Zumino term of a d-dimensional bosonic sigma-model. We show that gauged WZ-like terms are in one-to-one correspondence with equivariant cocycles of the target space. By the same token, the obstructions to gauging a WZ term can be understood in terms of the equivariant cohomology of the target space and this allows us to use topological tools to derive some a priori vanishing theorems guaranteeing the absence of obstructions for a large class of target spaces and symmetry groups in the physically interesting dimensions d<=4. (This is an expository summary of the results of hep-th/9407149.)

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