Smooth 2-Group Extensions and Symmetries of Bundle Gerbes

نویسندگان

چکیده

Abstract We study bundle gerbes on manifolds M that carry an action of a connected Lie group G . show these data give rise to smooth 2-group extension by the hermitean line bundles This classifies equivariant structures gerbe, and its non-triviality poses obstruction existence structures. present new global approach parallel transport gerbe with connection, use it alternative construction this in terms homotopy-coherent version associated construction. apply our results descriptions nonassociative magnetic translations quantum mechanics Faddeev–Mickelsson–Shatashvili anomaly field theory. also propose definition string models within geometric framework. Starting from basic compact simply-connected , we prove extensions arising provide for

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2021

ISSN: ['0010-3616', '1432-0916']

DOI: https://doi.org/10.1007/s00220-021-04099-7