https://doi.org/10.1140/epjc/s10052-024-12959-4
Regular Article – Theoretical Physics
Sengupta transformations and Carrollian relativistic theory
1
Department of Astrophysics and High Energy Physics, S.N. Bose National Center for Basic Sciences, 700106, Kolkata, India
2
Department of Physics, Indian Institute of Technology Guwahati, 781039, Guwahati, Assam, India
Received:
18
March
2024
Accepted:
23
May
2024
Published online:
10
June
2024
A detailed and systematic formulation of Carrollian relativity is provided. Based on the transformations, first provided by Sengupta (Nuovo Cim, 54:512, 1966), we construct a mapping between Lorentz relativistic and Carrollian relativistic vectors. Using this map the Carroll theory is built from the standard Maxwell action. We show that we get self-consistent equations of motion from the action, both in electric and magnetic limits. We introduce Carroll electric and magnetic fields. A new set of maps is derived that connects Carroll electric and magnetic fields with the usual Maxwell ones and yields Carroll equations in terms of fields. Consistency of results with the potential formulation is shown. Carroll version of symmetries like duality, gauge, shift, Noether and boost are treated in details and their implications elaborated. Especially, boost symmetry provides a link to the various maps used in this paper.
Rabin Banerjee: DAE Raja Ramanna fellow.
© The Author(s) 2024
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Funded by SCOAP3.
