Seiberg-Witten map for the 4D noncommutative BF theory
arXiv:0710.3954 · doi:10.1088/1751-8113/41/42/425203
Abstract
We describe the Seiberg-Witten map for the 4D noncommutative BF theory (NCBF). We establish the existence of a map taking the abelian NCBF into its commutative version, in agreement with the hypothesis that such maps are available for any noncommutative theory with Schwarz type topological sectors.
9 pages, no figures,The mapping to all orders is discussed in detail
References in corpus (27)
- String Theory and Noncommutative Geometry
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Noncommutative Perturbative Dynamics
- The IR/UV Connection in the Non-Commutative Gauge Theories
- Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
- Consistent couplings between fields with a gauge freedom and deformations of the master equation
- Are Nonrenormalizable Gauge Theories Renormalizable?
- Noncommutative Induced Gauge Theory
- *-Trek II: *_n Operations, Open Wilson Lines and the Seiberg-Witten Map
- Chern-Simons action in noncommutative space
- Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups
- Four-Dimensional Yang-Mills Theory as a Deformation of Topological BF Theory
- Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
- Perturbation Theory for Antisymmetric Tensor Fields in Four Dimensions
- Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
- Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
- Consistent noncommutative quantum gauge theories?
- Renormalizability of Nonrenormalizable Field Theories
- Seiberg-Witten maps in the context of the antifield formalism
- Towards an explicit expression of the Seiberg-Witten map at all orders
- Perturbative BF-Yang-Mills theory on noncommutative R^4
- Algebraic renormalization of the BF Yang-Mills Theory
- BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case
- Noncommutative Two Dimensional BF Model
- Instabilities of noncommutative two dimensional BF model
- A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term
- On The Complete Seiberg-Witten Map For Theories With Topological Terms