Non-Split Geometry on Products of Vector Bundles

Abstract

We propose a model in which a spliced vector bundle (with an arbitrary number of gauge structures in the splice) possesses a geometry which do not split. The model employs connection 1-forms with values in a space-product of Lie algebras, and therefore interlaces the various gauge structures in a non-trivial manner. Special attention is given to the structure of the geometric ghost sector and the super-algebra it possesses: The ghosts emerge as $x$-dependent deformations at the gauge sector, and the associated BRST super algebra is realized as constraints that follow from the invariance of the curvature.

arXiv commentImproved version with corrections

References in corpus (1)

• On the Composition of Gauge Structures

Cited by in corpus (1)

• Post-Riemannian Merger of Yang-Mills Interactions with Gravity