BMS field theories and Weyl anomaly
Abstract
Two dimensional field theories with Bondi-Metzner-Sachs symmetry have been proposed as duals to asymptotically flat spacetimes in three dimensions. These field theories are naturally defined on null surfaces and hence are conformal cousins of Carrollian theories, where the speed of light goes to zero. In this paper, we initiate an investigation of anomalies in these field theories. Specifically, we focus on the BMS equivalent of Weyl invariance and its breakdown in these field theories and derive an expression for Weyl anomaly. Considering the transformation of partition functions under this symmetry, we derive a Carrollian Liouville action different from ones obtained in the literature earlier.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- July 2021
- DOI:
- 10.1007/JHEP07(2021)101
- arXiv:
- arXiv:2104.10405
- Bibcode:
- 2021JHEP...07..101B
- Keywords:
-
- Anomalies in Field and String Theories;
- Conformal and W Symmetry;
- Gauge-gravity correspondence;
- High Energy Physics - Theory
- E-Print:
- 35 pages