On duality of the noncommutative extension of the Maxwell-Chern-Simons model
arXiv:hep-th/0410156 · doi:10.1016/j.physletb.2004.11.064
Abstract
We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the Self-Dual model induced by the Seiberg-Witten map. We apply the dual projection technique to uncover some properties of the noncommutative Maxwell-Chern-Simons theory up to first-order in the noncommutative parameter. A duality between this theory and a model similar to the ordinary self-dual model is estabilished. The correspondence of the basic fields is obtained and the equivalence of algebras and equations of motion are directly verified. We also comment on previous results in this subject.
Revtex, 9 pages, accepted for publication PLB
References in corpus (17)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Space-Time Noncommutative Field Theories And Unitarity
- Space/Time Non-Commutativity and Causality
- The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
- Chern-Simons action in noncommutative space
- Bosonisation in Three-Dimensional Quantum Field Theory
- Noncommutative Chern-Simons terms and the noncommutative vacuum
- Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3
- Interference Phenomenon for Different Chiral Bosonization Schemes
- Duality in Noncommutative Topologically Massive Gauge Field Theory Revisited
- Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models
- On the dimensional dependence of the electromagnetic duality groups
- Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models
- Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes
Cited by in corpus (12)
- Topics in Noncommutative Geometry Inspired Physics
- Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
- On the duality of three-dimensional superfield theories
- Three dimensional noncommutative bosonization
- Higher derivative Chern-Simons extension in the noncommutative QED
- Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield
- Issues on 3D Noncommutative Electromagnetic Duality
- Aspects of Noncommutative Scalar/Tensor Duality
- On The Complete Seiberg-Witten Map For Theories With Topological Terms
- 3D and 4D noncommutative electromagnetic duality and the role of the slowly varying fields limit
- Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
- Bose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time