Carroll covariant scalar fields in two dimensions
Abstract Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings. In this paper, we focus on two dimensional (2d) null manifolds and hence on the 2d Conformal Carroll or equ...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)072 |
| _version_ | 1827957028676435968 |
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| author | Arjun Bagchi Aritra Banerjee Sudipta Dutta Kedar S. Kolekar Punit Sharma |
| author_facet | Arjun Bagchi Aritra Banerjee Sudipta Dutta Kedar S. Kolekar Punit Sharma |
| author_sort | Arjun Bagchi |
| collection | DOAJ |
| description | Abstract Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings. In this paper, we focus on two dimensional (2d) null manifolds and hence on the 2d Conformal Carroll or equivalently the 3d Bondi-Metzner-Sachs (BMS) algebra. Using Carroll covariance, we write the most general free massless Carroll scalar field theory and discover three inequivalent actions. Of these, two viz. the time-like and space-like actions, have made their appearance in literature before. We uncover a third that we call the mixed-derivative theory. As expected, all three theories enjoy off-shell BMS invariance. Interestingly, we find that the on-shell symmetry of mixed derivative theory is a single Virasoro algebra instead of the full BMS. We discuss potential applications to tensionless strings and flat holography. |
| first_indexed | 2024-04-09T15:12:38Z |
| format | Article |
| id | doaj.art-3384f3f9176545c08040f2a99b73eb20 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:12:38Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3384f3f9176545c08040f2a99b73eb202023-04-30T11:04:02ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023115010.1007/JHEP01(2023)072Carroll covariant scalar fields in two dimensionsArjun Bagchi0Aritra Banerjee1Sudipta Dutta2Kedar S. Kolekar3Punit Sharma4Indian Institute of Technology KanpurOkinawa Institute of Science & TechnologyIndian Institute of Technology KanpurIndian Institute of Technology KanpurIndian Institute of Technology KanpurAbstract Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings. In this paper, we focus on two dimensional (2d) null manifolds and hence on the 2d Conformal Carroll or equivalently the 3d Bondi-Metzner-Sachs (BMS) algebra. Using Carroll covariance, we write the most general free massless Carroll scalar field theory and discover three inequivalent actions. Of these, two viz. the time-like and space-like actions, have made their appearance in literature before. We uncover a third that we call the mixed-derivative theory. As expected, all three theories enjoy off-shell BMS invariance. Interestingly, we find that the on-shell symmetry of mixed derivative theory is a single Virasoro algebra instead of the full BMS. We discuss potential applications to tensionless strings and flat holography.https://doi.org/10.1007/JHEP01(2023)072Conformal and W SymmetryScale and Conformal SymmetriesBosonic StringsGauge-Gravity Correspondence |
| spellingShingle | Arjun Bagchi Aritra Banerjee Sudipta Dutta Kedar S. Kolekar Punit Sharma Carroll covariant scalar fields in two dimensions Journal of High Energy Physics Conformal and W Symmetry Scale and Conformal Symmetries Bosonic Strings Gauge-Gravity Correspondence |
| title | Carroll covariant scalar fields in two dimensions |
| title_full | Carroll covariant scalar fields in two dimensions |
| title_fullStr | Carroll covariant scalar fields in two dimensions |
| title_full_unstemmed | Carroll covariant scalar fields in two dimensions |
| title_short | Carroll covariant scalar fields in two dimensions |
| title_sort | carroll covariant scalar fields in two dimensions |
| topic | Conformal and W Symmetry Scale and Conformal Symmetries Bosonic Strings Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP01(2023)072 |
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