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arXiv · hep-th/9704124

Non-Split Geometry on Products of Vector Bundles

O. Megged
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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.

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O. Megged. 2000-08-10. Non-Split Geometry on Products of Vector Bundles. https://doi.org/10.1088/0305-4470%2F31%2F5%2F014

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