A NEW APPROACH TO THE ANALYSIS OF A NONCOMMUTATIVE CHERN–SIMONS THEORY

2004/09/30 by Pradip Mukherjee, PRADIP MUKHERJEE, Anirban Saha +1
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge theory #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Representation (politics) #hep-th

paper · pdf · doi:10.1142/s021773230601927x

published as Mod.Phys.Lett. A21 (2006) 821-830 · 9 pages latex, some new results added. To be published in Modern Physics Letters A

arxiv created 2005/11/08 · openalex publication_date 2006/03/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg–Witten map which is exact in the noncommutative parameter.

Citations

• Flux tube solutions in noncommutative gauge theories
• Open strings in background gauge fields
• Noncommutative Maxwell–Chern–Simons theory, duality and a new noncommutative Chern–Simons theory in d=3
• Deformation Quantization of Poisson Manifolds
• Non-linear electrodynamics from quantized strings
• Spin of Chern-Simons vortices
• Gauge theory on a quantum phase space
• Gauge theory on noncommutative spaces