2013/08/30 by Sudhaker Upadhyay, Bhabani Prasad Mandal
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1142/s0217751x13501224
published as Int. J. Mod. Phys. A 28 (2013) 1350122 · 9 pages, No figures, Version to appear in Int. J. Mod. Phys. A. arXiv admin note: text overlap with arXiv:1109.3001
arxiv created 2013/08/30 · arxiv updated 2013/10/08
The nilpotent BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetry transformations are constructed in the context of noncommutative (NC) 1-form as well as 2-form gauge theories. The corresponding Noether's charges for these symmetries on the Moyal plane are shown to satisfy the same algebra as by the de Rham cohomological operators of differential geometry. The Hodge decomposition theorem on compact manifold is also studied. We show that noncommutative gauge theories are field theoretic models for Hodge theory.