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

Abstract

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.

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

References in corpus (7)

• The Coupling of Yang-Mills to Extended Objects
• Current Algebra in Three Dimensions
• $U(1)$--Extended Gauge Algebras in $p$-Loop Space
• Chern-Simons Forms, Mickelsson-Faddeev Algebras and the P-Branes
• Hilbert space cocycles as representations of $(3+1)-$ D current algebras
• Symmetries of P-Branes
• BRS Operators and Covariant Derivatives in Loop Space for P-Branes Coupled to Yang-Mills

Cited by in corpus (7)

• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• Putting string/string duality to the test
• Fivebrane Structures
• Schwinger Terms and Cohomology of Pseudodifferential Operators
• Regularization and Quantization of Higher Dimensional Current Algebras
• On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations