A representation of the string 2-group
Operator Algebras
2023-08-11 v1 Mathematical Physics
Differential Geometry
math.MP
Representation Theory
Abstract
We construct a representation of the string 2-group on a 2-vector space, aiming to establish it as the categorification of the spinor representation. Our model for 2-vector spaces is based on the Morita bicategory of von Neumann algebras, and we specifically represent the string 2-group on the hyperfinite type III_1 factor.
Keywords
Cite
@article{arxiv.2308.05139,
title = {A representation of the string 2-group},
author = {Peter Kristel and Matthias Ludewig and Konrad Waldorf},
journal= {arXiv preprint arXiv:2308.05139},
year = {2023}
}
Comments
25 pages. This is an excerpt from our paper "The stringor bundle" (arxiv:2206.09797), which we intend to split