Off-shell nilpotent (anti-)BRST symmetries for a free particle system on a toric geometry: Superfield formalism

2014/06/01 by R. Kumar · 1 citation
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Formalism (music) #Gauge symmetry #Gauge theory #Geometry #Homogeneous space #Lagrangian #Mathematical physics #Mathematics #Nilpotent #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum chaos and dynamical systems #Superfield #Supermanifold #Supersymmetry #hep-th

paper · pdf · doi:10.1209/0295-5075/106/51001

published as Euro. Phys. Lett. 106 (2014) 51001 · LaTeX file v3: 15 pages, single column, no figures, typo fixed in Eq. (18)

openalex publication_date 2014/06/01 · arxiv created 2014/11/21 · arxiv updated 2014/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive the off-shell nilpotent as well as absolutely anticommuting (anti-)BRST symmetry transformations, within the framework of superfield approach to BRST formalism, for a free particle system constrained to move on a torus. We also construct the most appropriate gauge-fixed Lagrangian which respects the (anti-)BRST symmetry transformations.

Citations

• String Theory on Calabi-Yau Manifolds
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• ONE-FORM ABELIAN GAUGE THEORY AS THE HODGE THEORY
• Quantum mechanics on the noncommutative torus

Cited by

• Symplectic gauge-invariant reformulation of a free-particle system on toric geometry