2001/12/31 by R. P. Malik, R P Malik · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1088/0305-4470/35/32/311
published as J.Phys.A35:6919-6930,2002 · LaTeX, 15 pages
openalex publication_date 2002/07/30 · arxiv created 2002/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We discuss some aspects of the topological features of a non-interacting two (1 + 1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman gauge. We express the local and continuous symmetries, Lagrangian density, topological invariants and symmetric energy–momentum tensor of this theory in the language of superfields by exploiting the nilpotent (anti-)BRST and (anti-)co-BRST symmetries. In particular, the Lagrangian density and symmetric energy–momentum tensor of this topological theory turn out to be the sum of terms that geometrically correspond to the translations of some local superfields along the Grassmannian directions of the four (2 + 2)-dimensional supermanifold. In this interpretation, the (anti-)BRST and (anti-)co-BRST symmetries, that emerge after the imposition of the (dual) horizontality conditions, play a very important role.