From gauge anomalies to gerbes and gerbal actions

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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].
11 pages, based on the talk on "Fractional Loop Groups" at the meeting "Motives, Quantum Field Theory, and Pseudodifferential Operators", Boston University, June 2-13, 2008

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