From gauge anomalies to gerbes and gerbal actions

Mathematics – Differential Geometry

Scientific paper

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11 pages, based on the talk on "Fractional Loop Groups" at the meeting "Motives, Quantum Field Theory, and Pseudodifferential

Scientific paper

The purpose of this contribution is to point out connections between recent ideas about gerbes and gerbal actions (as higher categorical extension of representation theory) and old discussion in quantum field theory on commutator anomalies, gauge group extensions, and 3-cocycles. The unifying concept is the classical obstruction theory for group extensions as explained in the reference [ML].

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