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Characters of the BMS Group in Three Dimensions

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arxiv 1502.03108 v2 pith:IJD5MBMU submitted 2015-02-10 hep-th math.RT

Blagoje Oblak This is my paper · ORCID
classification hep-thmath.RT
keywords charactersgroupfunctionalintegralvaluesvirasoroallowingassociated
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Using the Frobenius formula, we evaluate characters associated with certain induced representations of the centrally extended BMS$_3$ group. This computation involves a functional integral over a coadjoint orbit of the Virasoro group; a delta function localizes the integral to a single point, allowing us to obtain an exact result. The latter is independent of the specific form of the functional measure, and holds for all values of the BMS$_3$ central charges and all values of the chosen mass and spin. It can also be recovered as a flat limit of Virasoro characters.

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Cited by 5 Pith papers

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