The stringor representation of the string group

03.01.2022, 16:15  –  Online via Zoom Forschungsseminar Differentialgeometrie

Matthias Ludewig (Regensburg)

We construct a representation for the string group String(d), realized as a strict 2-group, where by “representation” we mean a continuous strict homomorphism into the strict automorphism 2-group of a von Neumann algebra (in this case, the hyperfinite factor of type III_1). In analogy to the spinor representation of Spin(d), which does not factor through SO(d), this representation does not factor through a representation of Spin(d). This is joint work with Peter Kristel Konrad Waldorf.

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