2001/11/30 by R. P. Malik
Mathematics · Physics and Astronomy · #Abelian group #BRST quantization #Black Holes and Theoretical Physics #Continuous symmetry #Covariant derivative #Covariant transformation #Gauge symmetry #Gauge theory #Geometry #Homogeneous space #Invariant (physics) #Lagrangian #Mathematical physics #Mathematics #Nilpotent #Noether's theorem #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Supermanifold #Theoretical physics #hep-th
paper · pdf · doi:10.1142/s0217732302006357
published as Mod.Phys.Lett.A17:185,2002; Erratum-ibid.A18:2147,2003 · LaTeX, 12 pages, equations (4.2)--(4.6) corrected
openalex publication_date 2002/01/30 · arxiv created 2003/06/28 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two (1+1)-dimensional (2D) non-Abelian gauge theory (having no interaction with matter fields). The local and nilpotent Noether conserved charges corresponding to the above continuous symmetries find their geometrical interpretation as the translation generators along the odd (Grassmannian) directions of the four (2+2)-dimensional compact supermanifold.