2011/09/01 by Sudhaker Upadhyay, Bhabani Prasad Mandal · 1 citation
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Boson #Cohomology #Gauge theory #Hodge theory #Invariant (physics) #Mathematical physics #Mathematics #Nilpotent #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1140/epjc/s10052-011-1759-2
published as Eur. Phys. J. C (2011) 71:1759 · 19 pages, No figures, Revtex, Final version to appear in EPJC
openalex publication_date 2011/09/01 · arxiv created 2011/09/14 · arxiv updated 2011/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider (1+1) dimensional theory for a single self-dual chiral boson as classical model for gauge theory. Using Batalin-Fradkin-Vilkovisky (BFV) technique the nilpotent BRST and anti BRST symmetry transformations for this theory have been studied. In this model other forms of nilpotent symmetry transformations like co-BRST and anti co-BRST which leave the gauge-fixing part of the action invariant, are also explored. We show that the nilpotent charges for these symmetry transformations satisfy the algebra of de Rham cohomological operators in differential geometry. The Hodge decomposition theorem on compact manifold is also studied in the context of conserved charges.