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

Abstract

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.

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

References in corpus (1)

• The Coupling of Yang-Mills to Extended Objects

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• BRS Operators and Covariant Derivatives in Loop Space for P-Branes Coupled to Yang-Mills
• On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations