Nilpotent Symmetries and Conserved Charges: BRST-Quantized Version of the 4D Abelian 2-Form Gauge Theory
Year: 2026
Type: preprint
Abstract: We focus on the Becchi-Rouet-Stora-Tyutin (BRST) quantized version of the four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory and (i) discuss its infinitesimal, continuous and off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations, and (ii) derive the corresponding Noether conserved (anti-)BRST and (anti-)co-BRST charges. We demonstrate that these charges are not invariant under the above nilpotent symmetry transformations. We systematically derive the modified versions of the above Noether charges which are found to be invariant under the above symmetry transformations. As a consequence, both types of the above charges anticommute with each-other which proves their linear independence. We also derive the (anti-)BRST and (anti-)co-BRST invariant Curci-Ferrari (CF) type restrictions from the algebraic structures of the Noether conserved charges. In all the above proofs and derivations, we take into account the deep mathematical relationship that exists between the infinitesimal and continuous symmetry transformations and their generators as the Noether conserved charges.
Source: arXiv (Cornell University)
Author: Malik, R. P.
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215083603