R P Malik 2002 J. Phys. A: Math. Gen. 35 8817 doi:10.1088/0305-4470/35/41/313
Superfield approach to topological features of non-Abelian gauge theory
R P Malik
Show affiliationsWe discuss some of the key topological aspects of a (1 + 1)-dimensional (2D) self-interacting non-Abelian gauge theory (having no interaction with matter fields) in the framework of chiral superfield formalism. We provide the geometrical interpretation for the Lagrangian density, symmetric energy–momentum tensor, topological invariants, etc, by exploiting the 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) chiral superfields along one of the two independent Grassmannian directions of a (2 + 2)-dimensional supermanifold. This translation is generated by the conserved and on-shell nilpotent (co-)BRST charges that are present in the theory.
- PACS
- MSC
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81T45 Topological field theories (See also 57R56, 58Dxx)
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 41 (18 October 2002)
Received 18 July 2002
Published 1 October 2002
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Superfield approach to topological features of non-Abelian gauge theory
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