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arXiv · 2308.05139

A representation of the string 2-group

Peter Kristel·Matthias Ludewig·Konrad Waldorf
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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.

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Peter Kristel, Matthias Ludewig, Konrad Waldorf. 2023-08-09. A representation of the string 2-group. https://arxiv.org/abs/2308.05139

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