Constructing Carrollian CFTs

Abstract

We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.

arXiv comment21 pages

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Cited by in corpus (21)

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• Conformal Carroll Scalars with Boosts
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• Interacting Conformal Carrollian Theories: Cues from Electrodynamics
• Carroll covariant scalar fields in two dimensions
• Boosting to BMS
• Holographic Lorentz and Carroll Frames
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Carroll fermions in two dimensions
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• Asymptotic Shear and the Intrinsic Conformal Geometry of Null-Infinity
• Towards higher-spin holography in flat space
• BMS Field Theories and Weyl Anomaly
• Chern-Simons action and the Carrollian Cotton tensors
• $\widehat{s{l}_2}$ symmetry of ${\mathbb{R}}^{1,3}$ gravity
• Unique Carrollian manifolds emerging from Einstein spacetimes
• Relativistic Fluids, Hydrodynamic Frames and their Galilean versus Carrollian Avatars
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Revisiting the Carrollian Scalar Field