Volume 140, Number 4, November 2022
|Number of page(s)||7|
|Published online||21 November 2022|
Quantum symmetries and conserved charges of the cosmological Friedmann-Robertson-Walker model
Physics Department, Centre of Advanced Studies, Institute of Science, Banaras Hindu University Varanasi, 221 005, Uttar Pradesh, India
(a) E-mail: firstname.lastname@example.org (corresponding author)
Received: 30 July 2022
Accepted: 26 October 2022
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.
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