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Characters of the BMS Group in Three Dimensions

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Abstract

Using the Frobenius formula, we evaluate characters associated with certain induced representations of the centrally extended BMS3 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 BMS3 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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  1. Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, 1050, Bruxelles, Belgium

    Blagoje Oblak

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  1. Blagoje Oblak
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Correspondence to Blagoje Oblak.

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Communicated by N. A. Nekrasov

Research Fellow of the Fund for Scientific Research-FNRS Belgium.

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Oblak, B. Characters of the BMS Group in Three Dimensions. Commun. Math. Phys. 340, 413–432 (2015). https://doi.org/10.1007/s00220-015-2408-7

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