Quantum Symmetries and Conserved Charges of the Cosmological Friedmann-Robertson-Walker Model

Abstract

We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in the extended phase space. In this discussion, the presence of anti-BRST symmetry provides the complete geometrical description of BRST within the ambit of the supervariable approach. We derive the conserved (anti-)BRST charges for the FRW model using the celebrated Noether theorem and show the nilpotency and absolute anti-commutativity properties of these conserved charges within the realm of BRST formalism. Finally, we prove the sanctity of (anti-)BRST symmetries through the derivation of these symmetry transformations within the framework of the (anti-)chiral supervariable approach (ACSA) to BRST formalism.

LaTeX file, 13 pages, no figures

References in corpus (5)

• Abelian 2-form gauge theory: superfield formalism
• An Alternative To The Horizontality Condition In Superfield Approach To BRST Symmetries
• Field-dependent symmetries in Friedmann-Robertson-Walker models
• Hamiltonian formulation for the theory of gravity and canonical transformations in extended phase space
• (Anti-)Chiral Superfield Approach to Interacting Abelian 1-Form Gauge Theories: Nilpotent and Absolutely Anticommuting Charges