BMS modules in three dimensions

被引:63
作者
Campoleoni, A. [1 ,2 ]
Gonzalez, H. A. [1 ,2 ]
Oblak, B. [1 ,2 ,3 ]
Riegler, M. [4 ]
机构
[1] Univ Libre Bruxelles, ULB Campus Plaine CP231, B-1050 Brussels, Belgium
[2] Int Solvay Inst, ULB Campus Plaine CP231, B-1050 Brussels, Belgium
[3] Univ Cambridge, Ctr Math Sci, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England
[4] Vienna Univ Technol, Inst Theoret Phys, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 12期
基金
奥地利科学基金会;
关键词
Higher-spin gauge theories in three dimensions; BMS symmetry; METZNER-SACHS GROUP; ASYMPTOTIC SYMMETRIES; GRAVITATIONAL WAVES; GENERAL RELATIVITY; REPRESENTATIONS; GRAVITY;
D O I
10.1142/S0217751X16500688
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
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.
引用
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页数:25
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