Noncommutative Gauge Theories: Model for Hodge theory

Abstract

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.

9 pages, No figures, Version to appear in Int. J. Mod. Phys. A. arXiv admin note: text overlap with arXiv:1109.3001

References in corpus (4)

• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• BV formulation of higher form gauge theories in a superspace
• The model for self-dual chiral bosons as a Hodge theory
• On the Renormalization of Non-Commutative Field Theories

Cited by in corpus (1)

• Quantum gauge symmetry of reducible gauge theory