2021/05/17 by Anjali S, Saurabh Gupta
Mathematics · Physics and Astronomy · #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Constraint (computer-aided design) #Homogeneous space #Nilpotent #Quantum Chromodynamics and Particle Interactions #Symplectic geometry #Toric variety #Torus #hep-th
paper · pdf · doi:10.1209/0295-5075/135/11002
published as EPL, 135 (2021) 11002 · LaTeX file, 15 pages, no figures, accepted for publication in EPL
arxiv created 2021/05/17 · openalex created_date 2021/05/24 · openalex publication_date 2021/07/01 · arxiv updated 2021/09/10 · openalex updated_date 2026/08/05
We deduce the constraint structure and subsequently quantize a free-particle system residing on a torus satisfying the geometric constraint , within the framework of the modified Faddeev-Jackiw formalism. Further, we reformulate the system as a gauge theory by means of the symplectic gauge-invariant formalism. Finally, we establish the off-shell nilpotent and absolutely anti-commuting (anti-)BRST symmetries of the reformulated gauge-invariant theory.