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Conformal Carroll Scalars with Boosts
by Stefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. Søgaard
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Submission summary
| Authors (as registered SciPost users): | Stefano Baiguera · Gerben Oling · Benjamin Søgaard |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2207.03468v3 (pdf) |
| Date accepted: | 2023-02-13 |
| Date submitted: | 2022-12-16 14:58 |
| Submitted by: | Søgaard, Benjamin |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
List of changes
In addition to the changes mentioned in our replies to the reports, we have fixed a typo in Equation (2.8) and we slightly improved our wording in a few places.
Published as SciPost Phys. 14, 086 (2023)