We construct two distinct actions for scalar fields that are invariant under local Carroll boosts and Weyl transformations. Conformal Carroll field theories were recently argued to be related to the celestial holography description of asymptotically flat spacetimes. However, only few explicit examples of such theories are known, and they lack local Carroll boost symmetry on a generic curved background. We derive two types of conformal Carroll scalar actions with boost symmetry on a curved background in any dimension and compute their energy-momentum tensors, which are traceless. In the first type of theories, time derivatives dominate and spatial derivatives are suppressed. In the second type, spatial derivatives dominate, and constraints are present to ensure local boost invariance. By integrating out these constraints, we show that the spatial conformal Carroll theories can be reduced to lower-dimensional Euclidean CFTs, which is reminiscent of the embedding space construction.

Baiguera, S., Oling, G., Sybesma, W., Sogaard, B. (2023). Conformal Carroll scalars with boosts. SCIPOST PHYSICS, 14(4) [10.21468/SciPostPhys.14.4.086].

Conformal Carroll scalars with boosts

Baiguera S.;
2023

Abstract

We construct two distinct actions for scalar fields that are invariant under local Carroll boosts and Weyl transformations. Conformal Carroll field theories were recently argued to be related to the celestial holography description of asymptotically flat spacetimes. However, only few explicit examples of such theories are known, and they lack local Carroll boost symmetry on a generic curved background. We derive two types of conformal Carroll scalar actions with boost symmetry on a curved background in any dimension and compute their energy-momentum tensors, which are traceless. In the first type of theories, time derivatives dominate and spatial derivatives are suppressed. In the second type, spatial derivatives dominate, and constraints are present to ensure local boost invariance. By integrating out these constraints, we show that the spatial conformal Carroll theories can be reduced to lower-dimensional Euclidean CFTs, which is reminiscent of the embedding space construction.
Articolo in rivista - Articolo scientifico
Carroll, conformal, scalar, celestial holography, non-Lorentzian
English
28-apr-2023
2023
14
4
086
open
Baiguera, S., Oling, G., Sybesma, W., Sogaard, B. (2023). Conformal Carroll scalars with boosts. SCIPOST PHYSICS, 14(4) [10.21468/SciPostPhys.14.4.086].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/488519
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