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  Field Theories on Null Manifolds

Bagchi, A., Basu, R., Mehra, A. S., & Nandi, P. (2020). Field Theories on Null Manifolds. Journal of High Energy Physics, 2020(2): 141. doi:10.1007/JHEP02(2020)141.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-7D85-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-0B5C-8
Genre: Journal Article

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 Creators:
Bagchi, Arjun, Author
Basu, Rudranil, Author
Mehra, Aditya Singh1, Author              
Nandi, Poulami, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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.

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 Dates: 2019-12-192020
 Publication Status: Published in print
 Pages: 35 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1912.09388
URI: http://arxiv.org/abs/1912.09388
DOI: 10.1007/JHEP02(2020)141
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2020 (2) Sequence Number: 141 Start / End Page: - Identifier: -