Ansha S. Nair | Searcharxiv

arXiv2026

Batalin-Fradkin-Vilkovisky quantization and symmetries of FLPR model

We quantize the Friedberg-Lee-Pang-Ren (FLPR) model within the framework of Batalin-Fradkin-Vilkovisky (BFV) formalism. We construct the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) charges using constraints and the fermionic gauge-fixing function by means of admissible gauge conditions. We also derive the BRST invariant effective action (and corresponding symmetries) of the model in both polar and Cartesian coordinates. We demonstrate that the physical states of the system are annihilated by the first-class constraints which is consistent with the Dirac formalism. Moreover, we establish the finite field-dependent BRST (FFBRST) symmetries of the FLPR model. We exhibit the interlink between the BFV-BRST gauge-fixed action and the classical gauge invariant action using FFBRST formulation.

hep-th↗

arXiv2023

FLPR Model: Supervariable approach and a model for Hodge theory

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.

hep-th↗