Field theories with Conformal Carrollian symmetry
Abstract Conformal Carrollian groups are known to be isomorphic to Bondi-Metzner-Sachs (BMS) groups that arise as the asymptotic symmetries at the null boundary of Minkowski spacetime. The Carrollian algebra is obtained from the Poincare algebra by taking the speed of light to zero, and the conforma...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)108 |
| _version_ | 1819076770606874624 |
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| author | Arjun Bagchi Aditya Mehra Poulami Nandi |
| author_facet | Arjun Bagchi Aditya Mehra Poulami Nandi |
| author_sort | Arjun Bagchi |
| collection | DOAJ |
| description | Abstract Conformal Carrollian groups are known to be isomorphic to Bondi-Metzner-Sachs (BMS) groups that arise as the asymptotic symmetries at the null boundary of Minkowski spacetime. The Carrollian algebra is obtained from the Poincare algebra by taking the speed of light to zero, and the conformal version similarly follows. In this paper, we construct explicit examples of Conformal Carrollian field theories as limits of relativistic conformal theories, which include Carrollian versions of scalars, fermions, electromagnetism, Yang-Mills theory and general gauge theories coupled to matter fields. Due to the isomorphism with BMS symmetries, these field theories form prototypical examples of holographic duals to gravitational theories in asymptotically flat spacetimes. The intricacies of the limiting procedure leads to a plethora of different Carrollian sectors in the gauge theories we consider. Concentrating on the equations of motion of these theories, we show that even in dimensions d = 4, there is an infinite enhancement of the underlying symmetry structure. Our analysis is general enough to suggest that this infinite enhancement is a generic feature of the ultra-relativistic limit that we consider. |
| first_indexed | 2024-12-21T18:46:35Z |
| format | Article |
| id | doaj.art-dec564b34412450da7874efa98203cec |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T18:46:35Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-dec564b34412450da7874efa98203cec2022-12-21T18:53:53ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019516910.1007/JHEP05(2019)108Field theories with Conformal Carrollian symmetryArjun Bagchi0Aditya Mehra1Poulami Nandi2Indian Institute of Technology KanpurIndian Institute of Technology KanpurIndian Institute of Technology KanpurAbstract Conformal Carrollian groups are known to be isomorphic to Bondi-Metzner-Sachs (BMS) groups that arise as the asymptotic symmetries at the null boundary of Minkowski spacetime. The Carrollian algebra is obtained from the Poincare algebra by taking the speed of light to zero, and the conformal version similarly follows. In this paper, we construct explicit examples of Conformal Carrollian field theories as limits of relativistic conformal theories, which include Carrollian versions of scalars, fermions, electromagnetism, Yang-Mills theory and general gauge theories coupled to matter fields. Due to the isomorphism with BMS symmetries, these field theories form prototypical examples of holographic duals to gravitational theories in asymptotically flat spacetimes. The intricacies of the limiting procedure leads to a plethora of different Carrollian sectors in the gauge theories we consider. Concentrating on the equations of motion of these theories, we show that even in dimensions d = 4, there is an infinite enhancement of the underlying symmetry structure. Our analysis is general enough to suggest that this infinite enhancement is a generic feature of the ultra-relativistic limit that we consider.http://link.springer.com/article/10.1007/JHEP05(2019)108Conformal and W SymmetryConformal Field TheoryGauge-gravity correspondenceSpace-Time Symmetries |
| spellingShingle | Arjun Bagchi Aditya Mehra Poulami Nandi Field theories with Conformal Carrollian symmetry Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Gauge-gravity correspondence Space-Time Symmetries |
| title | Field theories with Conformal Carrollian symmetry |
| title_full | Field theories with Conformal Carrollian symmetry |
| title_fullStr | Field theories with Conformal Carrollian symmetry |
| title_full_unstemmed | Field theories with Conformal Carrollian symmetry |
| title_short | Field theories with Conformal Carrollian symmetry |
| title_sort | field theories with conformal carrollian symmetry |
| topic | Conformal and W Symmetry Conformal Field Theory Gauge-gravity correspondence Space-Time Symmetries |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)108 |
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