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arXiv · 2012.15813

Bundle gerbes on supermanifolds

John Huerta
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Abstract

We show that every bundle gerbe on a supermanifold decomposes into a bundle gerbe over the underlying manifold and a 2-form on the supermanifold. This decomposition is not canonical, but is determined by the choice of a projection map to the underlying manifold. Along the way, we prove the familiar cohomological classification theorems for bundle gerbes and bundle gerbes with connection in the context of supermanifolds.

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John Huerta. 2020-12-31. Bundle gerbes on supermanifolds. https://arxiv.org/abs/2012.15813

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