**spin geometry**, **string geometry**, **fivebrane geometry** …

**rotation groups in low dimensions**:

see also

A string structure on a manifold transgresses into a kind of spin structure on its free loop space, which is “fusive” with respect to fusion of loops (along trinions). Equipped with this structure this should be a 2-vector bundle on the base space, and this is what is called the *stringor bundle*.

The idea that String structure on a manifold is a kind of spin structure on its loop space is due to

- Edward Witten,
*The Index Of The Dirac Operator In Loop Space*Proc. of Conf. on Elliptic Curves and Modular Forms in Algebraic Topology Princeton (1986) (spire)

The idea and the terminology of “stringor bundles” originates with:

- Stephan Stolz, Peter Teichner,
*The spinor bundle on loop space*(2005) [pdf, pdf]

An actual construction appears in:

- Peter Kristel, Matthias Ludewig, Konrad Waldorf,
*A representation of the string 2-group*, [arXiv:2206.09797]

Reviewed in:

- Konrad Waldorf,
*The stringor bundle*, talk at*QFT and Cobordism*, CQTS (Mar 2023) [web]

Created on March 16, 2023 at 09:34:52. See the history of this page for a list of all contributions to it.