The stringor bundle
Abstract
We construct a representation of the string 2group on a 2vector space, namely on the hyperfinite type III_1 von Neumann algebra. We prove that associating this representation to the frame bundle of a string manifold yields the stringor bundle of StolzTeichner, thus establishing a perfect analogy to spin manifolds, representations of the spin groups, and spinor bundles.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 DOI:
 10.48550/arXiv.2206.09797
 arXiv:
 arXiv:2206.09797
 Bibcode:
 2022arXiv220609797K
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematical Physics;
 Mathematics  Differential Geometry;
 Mathematics  Operator Algebras
 EPrint:
 68 pages. In v2 the title has been changed. The original title was "A representation of the string 2group"