Geometric interpretation of the 2-index potential as twisted de Rham cohomology

Details Geometric interpretation of the 2-index potential as twisted de Rham cohomology Geometric interpretation of the 2-index potential as twisted de Rham cohomology

1997-03-05

arxiv.org/abs/hep-th/9703033v2

Physics

High Energy Physics

High Energy Physics - Theory

latex, 10 pages, expanded with proofs and more results

Scientific paper

It is found that the 2-index potential in nonabelian theories does not behave
geometrically as a connection but that, considered as an element of the second
de Rham cohomology group twisted by a flat connection, it fits well with all
the properties assigned to it in various physical contexts. We also prove some
results on the Euler characteristic of the twisted de Rham complex.

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