Field theories on null manifolds
Abstract We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look at weak (on-shell) and strong invariance (off-shel...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2020)141 |
| _version_ | 1818950849239449600 |
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| author | Arjun Bagchi Rudranil Basu Aditya Mehra Poulami Nandi |
| author_facet | Arjun Bagchi Rudranil Basu Aditya Mehra Poulami Nandi |
| author_sort | Arjun Bagchi |
| collection | DOAJ |
| description | Abstract We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look at weak (on-shell) and strong invariance (off-shell) of its equations of motion under conformal Carrollian symmetries. Helmholtz conditions are necessary and sufficient conditions for a set of equations to arise from a Lagrangian. We investigate whether the equations of motion of Carrollian scalar electrodynamics satisfy these conditions. Then we proposed an action for the electric sector of the theory. This action is the first example for an interacting conformal Carrollian Field Theory. The proposed action respects the finite and infinite conformal Carrollian symmetries in d = 4. We calculate conserved charges corresponding to these finite and infinite symmetries and then rewrite the conserved charges in terms of the canonical variables. We finally compute the Poisson brackets for these charges and confirm that infinite Carrollian conformal algebra is satisfied at the level of charges. |
| first_indexed | 2024-12-20T09:25:07Z |
| format | Article |
| id | doaj.art-167511e444b04e7c8fb2fb76b16776a1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T09:25:07Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-167511e444b04e7c8fb2fb76b16776a12022-12-21T19:45:12ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020213410.1007/JHEP02(2020)141Field theories on null manifoldsArjun Bagchi0Rudranil Basu1Aditya Mehra2Poulami Nandi3Department of Physics, Indian Institute of Technology KanpurCenter for the Fundamental Laws of Nature, Harvard UniversityInternational Institute of Physics, Federal University of Rio Grande do NorteDepartment of Physics, Indian Institute of Technology KanpurAbstract We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look at weak (on-shell) and strong invariance (off-shell) of its equations of motion under conformal Carrollian symmetries. Helmholtz conditions are necessary and sufficient conditions for a set of equations to arise from a Lagrangian. We investigate whether the equations of motion of Carrollian scalar electrodynamics satisfy these conditions. Then we proposed an action for the electric sector of the theory. This action is the first example for an interacting conformal Carrollian Field Theory. The proposed action respects the finite and infinite conformal Carrollian symmetries in d = 4. We calculate conserved charges corresponding to these finite and infinite symmetries and then rewrite the conserved charges in terms of the canonical variables. We finally compute the Poisson brackets for these charges and confirm that infinite Carrollian conformal algebra is satisfied at the level of charges.http://link.springer.com/article/10.1007/JHEP02(2020)141Conformal and W SymmetryConformal Field TheoryGauge-gravity correspondenceSpace-Time Symmetries |
| spellingShingle | Arjun Bagchi Rudranil Basu Aditya Mehra Poulami Nandi Field theories on null manifolds Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Gauge-gravity correspondence Space-Time Symmetries |
| title | Field theories on null manifolds |
| title_full | Field theories on null manifolds |
| title_fullStr | Field theories on null manifolds |
| title_full_unstemmed | Field theories on null manifolds |
| title_short | Field theories on null manifolds |
| title_sort | field theories on null manifolds |
| topic | Conformal and W Symmetry Conformal Field Theory Gauge-gravity correspondence Space-Time Symmetries |
| url | http://link.springer.com/article/10.1007/JHEP02(2020)141 |
| work_keys_str_mv | AT arjunbagchi fieldtheoriesonnullmanifolds AT rudranilbasu fieldtheoriesonnullmanifolds AT adityamehra fieldtheoriesonnullmanifolds AT poulaminandi fieldtheoriesonnullmanifolds |