Conformal Carroll scalars with boosts
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 exampl...
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| Format: | Article |
| Language: | English |
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SciPost
2023-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.4.086 |
| _version_ | 1827957865586884608 |
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| author | Stefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. Søgaard |
| author_facet | Stefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. Søgaard |
| author_sort | Stefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. Søgaard |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T15:26:44Z |
| format | Article |
| id | doaj.art-3eab5b117da34b7ba3e13e8c0c90c6b3 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-09T15:26:44Z |
| publishDate | 2023-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-3eab5b117da34b7ba3e13e8c0c90c6b32023-04-28T15:06:33ZengSciPostSciPost Physics2542-46532023-04-0114408610.21468/SciPostPhys.14.4.086Conformal Carroll scalars with boostsStefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. SøgaardWe 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.https://scipost.org/SciPostPhys.14.4.086 |
| spellingShingle | Stefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. Søgaard Conformal Carroll scalars with boosts SciPost Physics |
| title | Conformal Carroll scalars with boosts |
| title_full | Conformal Carroll scalars with boosts |
| title_fullStr | Conformal Carroll scalars with boosts |
| title_full_unstemmed | Conformal Carroll scalars with boosts |
| title_short | Conformal Carroll scalars with boosts |
| title_sort | conformal carroll scalars with boosts |
| url | https://scipost.org/SciPostPhys.14.4.086 |
| work_keys_str_mv | AT stefanobaigueragerbenolingwatsesybesmabenjamintsøgaard conformalcarrollscalarswithboosts |