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BMS modules in three dimensions

par Campoleoni, Andrea ;Gonzalez Leiva, Hernan Alfredo ;Oblak, Blagoje ;Riegler, Max
Référence International journal of modern physics A, 31, page (1-25), 1650068
Publication Publié, 2016-04-28

Article révisé par les pairs

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Résumé :

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 nonrelativistic limits that typically give nonunitary representations. To support this dichotomy, we also point out that the ultrarelativistic and nonrelativistic limits of generic W algebras differ in the structure of their nonlinear terms.