On duality of the noncommutative extension of the Maxwell–Chern–Simons model

2004/10/31 by M. S. Guimarães, Davi C. Rodrigues, J. L. Noronha +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Chern–Simons theory #Computer science #Dual (grammatical number) #Duality (order theory) #Extension (predicate logic) #Gauge theory #Mathematical physics #Mathematics #Morita equivalence #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Philosophy #Physics #Pure mathematics #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.11.064

published as Phys.Lett. B605 (2005) 419-425 · Revtex, 9 pages, accepted for publication PLB

arxiv created 2004/11/23 · openalex publication_date 2004/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 established. 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.

Citations

• String theory and noncommutative geometry
• Noncommutative Maxwell–Chern–Simons theory, duality and a new noncommutative Chern–Simons theory in d=3
• Topologically massive gauge theories
• Noncommutative geometry and Matrix theory

Cited by

• Equivalence between supersymmetric self-dual and Maxwell–Chern–Simons models coupled to a matter spinor superfield