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arXiv · 1603.03812

BMS Modules in Three Dimensions

Andrea Campoleoni·Hernan A. Gonzalez·Blagoje Oblak·Max Riegler
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Abstract

We build unitary representations of the BMS algebra and its higher-spin extensions in three dimensions, using induced representations as a guide. Our prescription naturally emerges from an ultrarelativistic limit of highest-weight representations of Virasoro and W algebras, which is to be contrasted with non-relativistic limits that typically give non-unitary representations. To support this dichotomy, we also point out that the ultrarelativistic and non-relativistic limits of generic W algebras differ in the structure of their non-linear terms.

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Andrea Campoleoni, Hernan A. Gonzalez, Blagoje Oblak, Max Riegler. 2016-03-11. BMS Modules in Three Dimensions. https://doi.org/10.1142/s0217751x16500688

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