Boosting to BMS

Journal of High Energy Physics

Regular Article - Theoretical Physics

Hisayoshi Muraki¹  Arjun Bagchi²  Aritra Banerjee³ 

[1] Center for Geometry and Physics, Institute for Basic Science (IBS), 37673, Pohang, South Korea;Indian Institute of Technology Kanpur, 208016, Kanpur, India;Okinawa Institute of Science & Technology, 1919-1 Tancha, Onna-son, 904-0495, Okinawa, Japan;

关键词: Conformal and W Symmetry;    Bosonic Strings;    Scale and Conformal Symmetries;   

DOI  :  10.1007/JHEP09(2022)251

 received in 2022-05-23, accepted in 2022-09-21,  发布年份 2022

来源: Springer

【 摘 要 】

Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, are intrinsically associated to null manifolds and in two dimensions can be obtained as an Inönü-Wigner contraction of the two-dimensional (2d) relativistic conformal algebra. Instead of performing contractions, we demonstrate in this paper how this transmutation of symmetries can be achieved by infinite boosts or degenerate linear transformations on coordinates. Taking explicit cues from the worldsheet theory of null strings, we show boosting the system is equivalent to adding a current-current deformation term to the Hamiltonian. As the strength of this deformation term reaches a critical value, the classical symmetry algebra “flows” from two copies of Virasoro to the BMS algebra. We further explore the situation where the CFT coordinates are asymmetrically transformed, and degenerate limits lead to chiral theories.

【 授权许可】

Unknown   
© The Author(s) 2022

【 图 表 】

Fig. 5