Revisiting the Carrollian Scalar Field

Abstract

We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied by their conservation equations. We discuss the conservation and non-conservation properties resulting from the existence of conformal isometries and the associated charges. We illustrate those results for a scalar field propagating on the null boundary of four-dimensional Ricci-flat Robinson--Trautman spacetimes.

arXiv commentV1:1+19 pages, LaTex ; V2: PRD version

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Cited by in corpus (10)

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• Conformal Carroll Scalars with Boosts
• Holographic Lorentz and Carroll Frames
• Carroll fermions in two dimensions
• Carrollian conformal scalar as flat-space singleton
• A BMS-invariant free fermion model
• Towards higher-spin holography in flat space
• Carrollian Yang-Mills Theory
• Ehlers, Carroll, Charges and Dual Charges
• Stress tensors of 3d Carroll CFTs