Global Aspects of p-Branes

Abstract

We generalize to dimension $p>1$ the notion of string structure and discuss the related obstruction. We apply our results to a model of bosonic $p$-branes propagating on a principal $G$-bundle, coupled to a Yang--Mills field and an antisymmetric tensor field and in the presence of a Wess-Zumino term in the Lagrangian. We construct the quantization line bundle and discuss the action of background gauge transformations on wave functions.

14 pages, plain TEX, SISSA 36/93/EP

References in corpus (2)

• The Coupling of Yang-Mills to Extended Objects
• $U(1)$--Extended Gauge Algebras in $p$-Loop Space

Cited by in corpus (1)

• L-infinity algebra connections and applications to String- and Chern-Simons n-transport