Superfield approach to topological features of non-Abelian gauge theory

Abstract

We discuss some of the key topological aspects of a two $(1+1)$-dimensional (2D) self-interacting non-Abelian gauge theory (having no interaction with matter fields) in the framework of {\it chiral} superfield formalism. We provide the geometrical interpretation for the Lagrangian density, symmetric energy momentum tensor, topological invariants, etc., by exploiting the {\it on-shell} nilpotent BRST- and co-BRST symmetries that emerge after the application of (dual) horizontality conditions. We show that the above physically interesting quantities geometrically correspond to the translation of some local (but composite) {\it chiral} superfields along one of the two independent Grassmannian directions of a four ($2+2)$-dimensional supermanifold. This translation is generated by the conserved and on-shell nilpotent (co-)BRST charges that are present in the theory.

16 pages, LaTeX

References in corpus (5)

• New topological field theories in two dimensions
• New symmetries for Abelian gauge theory in superfield formulation
• Superfield approach to BRST cohomology
• Superfield approach to a novel symmetry for non-Abelian gauge theory
• Topological aspects of Abelian gauge theory in superfield formulation

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• Superfield Approach to (Non-)local Symmetries for One-Form Abelian Gauge Theory
• Hodge Duality Operation And Its Physical Applications On Supermanifolds
• Wigner's little group and BRST cohomology for one-form Abelian gauge theory
• Nilpotent symmetry invariance in the superfield formulation: the (non-)Abelian 1-form gauge theories