Chern-Simons Forms, Mickelsson-Faddeev Algebras and the P-Branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, CTP-TAMU-45-92, (Correction of some minor sign errors and typos)

Scientific paper

10.1016/0370-2693(92)90799-A

In string theory, nilpotence of the BRS operator $\d$ for the string
functional relates the Chern-Simons term in the gauge-invariant antisymmetric
tensor field strength to the central term in the Kac-Moody algebra. We
generalize these ideas to p-branes with odd p and find that the Kac-Moody
algebra for the string becomes the Mickelsson-Faddeev algebra for the p-brane.

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