# nLab fusion bundle

Contents

### Context

#### Bundles

bundles

fiber bundles in physics

# Contents

## Idea

The image of the transgression operation from bundle gerbes (with connection) to complex line bundles (with connection) on the free loop space of their base space may be characterized (Waldorf 2009, 2010, 2011) as consisting of bundles which are suitably compatible with the “fusion” of pairs of loops along thin trinions.

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## Properties

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### Relation to string field theory?

Curiously, the fusion operation that is formalized by the notion of fusion bundles is mathematically reminiscent of (and physically of essentially the same intuitive nature as) the “star product” on closed string fields considered in string field theory [Witten (1986),Fig. 20]:

## References

Created on December 11, 2022 at 17:09:51. See the history of this page for a list of all contributions to it.