Anticommuting (anti-)BRST symmetries in FLRW model: supervariable approach

Friedmann–Lema i ^ tre–Robertson–Walker (FLRW) model, representing the isotropic and homogeneous Universe, has an inherent diffeomorphism (or reparametrization) invariance. For a given local time-reparametrization symmetry transformation of ( 0 + 1 ) -dimensional (1 D ) diffeomorphism invariant FLRW...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2024-02, Vol.139 (2), p.201, Article 201
Main Authors: Shukla, Aradhya, Singh, Dharm Veer, Kumar, R.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Approximation
Atomic
Complex Systems
Condensed Matter Physics
Cosmology
Dark energy
Formalism
Gravity
Invariance
Invariants
Isomorphism
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Spacetime
Symmetry
Theoretical
Universe
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Friedmann–Lema i ^ tre–Robertson–Walker (FLRW) model, representing the isotropic and homogeneous Universe, has an inherent diffeomorphism (or reparametrization) invariance. For a given local time-reparametrization symmetry transformation of ( 0 + 1 ) -dimensional (1 D ) diffeomorphism invariant FLRW model, we derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations in a consistent manner. The supervariable approach to BRST formalism is used as a guiding tool in finding the proper (anti-)BRST transformations. An application of (super-)diffeomorphism invariance, in the context of superspace formalism, yields horizontality conditions. Moreover, the celebrated CF-type condition which is universal for 1 D diffeomorphism invariant theories, emerges as an off-shoot of the horizontality condition and provides the absolute anticommutativity of the (anti-)BRST transformations. In addition, this CF-type condition leads to the derivation of coupled (but equivalent) (anti-)BRST invariant quantum Lagrangians for FLRW model. We also capture the geometrical interpretation of the (anti-)BRST transformations and their properties in terms of the Grassmannian translational generators and supervariables.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-024-05010-8