spin geometry, string geometry, fivebrane geometry …
rotation groups in low dimensions:
see also
In a higher version of how a spin structure induces spinor bundles, so 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
The idea and the terminology of “stringor bundles” originates with:
An actual construction appears in:
Reviewed in:
Konrad Waldorf, The stringor bundle, talk at QFT and Cobordism, CQTS (Mar 2023) [web, video:YT]
Matthias Ludewig, The spinor bundle on loop space and its fusion product, talk at CQTS (Apr 2023) [web, video: YT]
Konrad Waldorf, String structures and loop spaces, in: Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2312.12998]
Compare also
and other references at smooth loop space.
Last revised on February 15, 2024 at 16:44:27. See the history of this page for a list of all contributions to it.