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Characters of the BMS Group in Three Dimensions

2015/02/28 by Blagoje Oblak · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computation #Computer science #Function (biology) #Geometry #Group (periodic table) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Orbit (dynamics) #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th #math.RT

paper · pdf · doi:10.1007/s00220-015-2408-7

published as Communications in Mathematical Physics (2015), pages 1-20 · 22 pages. v2: Updated references [5], [7] and [45]. Published in Communications in Mathematical Physics. The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-015-2408-7

openalex publication_date 2015/06/05 · arxiv created 2015/06/10 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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