Higher-Dimensional Loop Algebras, Non-Abelian Extensions and p-Branes

Details Higher-Dimensional Loop Algebras, Non-Abelian Extensions and p-Branes Higher-Dimensional Loop Algebras, Non-Abelian Extensions and p-Branes

1994-01-07

arxiv.org/abs/hep-th/9401027v3

Nucl.Phys. B424 (1994) 97-123

Physics

High Energy Physics

High Energy Physics - Theory

(published version, extended introduction), 35 pp.(LaTeX), Goteborg ITP-93-37

Scientific paper

10.1016/0550-3213(94)90090-6

We postulate a new type of operator algebra with a non-abelian extension. This algebra generalizes the Kac--Moody algebra in string theory and the Mickelsson--Faddeev algebra in three dimensions to higher-dimensional extended objects ($p$-branes). We then construct new BRST operators, covariant derivatives and curvature tensors in the higher-dimensional generalization of loop space.

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