2017/05/16 by Arjun Bagchi, Mirah Gary, Zodinmawia · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Engineering #Mathematics #Nuts and bolts #Particle physics theoretical and experimental studies #Statistics #Structural engineering #hep-th
paper · pdf · doi:10.1088/1361-6382/aa8003
50 pages. Invited article for Classical and Quantum Gravity Focus Issue on BMS Symmetries
arxiv created 2017/05/16 · openalex publication_date 2017/07/17 · arxiv updated 2017/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract In this paper, we elaborate on aspects of the recently introduced BMS bootstrap programme. We consider two-dimensional (2d) field theories with BMS 3 symmetry and extensively use highest weight representations to uncover the BMS version of crossing symmetry in 4-point functions that are constrained by symmetry. The BMS bootstrap equation is formulated and then analytic expressions for BMS blocks are constructed by looking at the limit of large central charges. These results are also applicable to 2d Galilean conformal field theories (CFTs) through the isomorphism between the BMS 3 and 2d Galilean conformal algebras. We recover our previously obtained results in the non-relativistic limit of the corresponding ones in 2d relativistic CFTs. This provides a comprehensive check of our previous analysis. We also explore the chiral limit of BMS 3 where the BMS algebra reduces to a single copy of the Virasoro algebra and show that our analysis is consistent with earlier work in this direction.