https://doi.org/10.1140/epjp/s13360-023-04747-y
Regular Article
FLPR model: supervariable approach and a model for Hodge theory
1
Department of Physics, National Institute of Technology Calicut, 673 601, Kozhikode, Kerala, India
2
Department of Physics, Siksha Bhavana, Visva-Bharati, 731 235, Santiniketan, Bolpur, West Bengal, India
Received:
9
November
2023
Accepted:
26
November
2023
Published online:
13
December
2023
We procure the complete set of (anti-)BRST as well as (anti-)co-BRST symmetry transformations of the Friedberg-Lee-Pang-Ren (FLPR) model within the framework of the supervariable approach. Additionally, we capture the nilpotency and absolute anti-commutativity aspects of these symmetries, along with the invariance of the Lagrangian in terms of translational generators along the Grassmannian directions in the context of the supervariable approach. The anti-commutator of the (anti-)BRST and (anti-)co-BRST symmetries generates a novel bosonic symmetry that retains the ghost part of the Lagrangian invariant. Furthermore, we demonstrate that the system under consideration respects the ghost scale and discrete symmetries, in addition to other symmetries. We show that the generators of all these symmetries cling to the algebra obeyed by the de Rham cohomological operators of differential geometry thus, the FLPR model presents a toy model for the Hodge theory.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
