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.

arXiv comment35 pages

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Cited by in corpus (12)

• Conformal Carroll Scalars with Boosts
• Carrollian hydrodynamics from symmetries
• Carrollian manifolds and null infinity: A view from Cartan geometry
• Holographic Lorentz and Carroll Frames
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• A BMS-invariant free fermion model
• Carrollian limit of quadratic gravity
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Carroll black holes in (A)dS and their higher-derivative modifications
• Tensionless Tales: Vacua and Critical Dimensions