FLPR Model: (Anti-)Chiral Supervariable Approach to Quantum Symmetries

We discuss and derive the off-shell nilpotent and absolutely anti-commuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, co-BRST and anti-co-BRST symmetry transformations for the non-interacting Friedberg-Lee-Pang-Ren (FLPR) model in one (0 + 1)-dimension (1D) of spacetime by exploiting the standard...

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Published in:arXiv.org 2024-11
Main Authors: Chauhan, Bhupendra, Bhanja, Tapobroto
Format: Article
Language:English
Subjects:
Commutativity
Manifolds (mathematics)
Online Access:Get full text
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Summary:We discuss and derive the off-shell nilpotent and absolutely anti-commuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, co-BRST and anti-co-BRST symmetry transformations for the non-interacting Friedberg-Lee-Pang-Ren (FLPR) model in one (0 + 1)-dimension (1D) of spacetime by exploiting the standard techniques of the (anti-)chiral supervariable approach (ACSA) onto (1, 1)-dimensional super sub-manifold of the general (1, 2)-dimensional supermanifold, where the (anti-) BRST and (anti-)co-BRST invariant restrictions play a crucial role. We provide clear proof of nilpotency and absolute anti-commutativity properties of the (anti-)BRST as well as (anti-) co-BRST Noether's conserved charges within the framework of ACSA to BRST formalism, where we take only one Grassmannian variable in place of two usual Grassmannian variables (i.e., fermionic variables). Furthermore, we also demonstrate that the Lagrangian of this non-interacting FLPR model is (anti-)BRST as well as (anti-)co-BRST symmetries invariance within the ambit of the ACSA to BRST approach in (1, 1)-dimensional spacetime.
ISSN:2331-8422