Nonabelian Gauge Theories on Noncommutative Spaces

Abstract

In this paper, we describe a method for obtaining the nonabelian Seiberg-Witten map for any gauge group and to any order in theta. The equations defining the Seiberg-Witten map are expressed using a coboundary operator, so that they can be solved by constructing a corresponding homotopy operator. The ambiguities, of both the gauge and covariant type, which arise in this map are manifest in our formalism.

14 pages, latex, Talk presented at 2001: A Spacetime Odyssey - Michigan Center for Theoretical Physics, some typos corrected

References in corpus (4)

• Construction of non-Abelian gauge theories on noncommutative spaces
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Comments on Open Wilson Lines and Generalized Star Products

Cited by in corpus (11)

• Non-Commutative GUTs, Standard Model and C,P,T
• Supersymmetry in noncommutative superspaces
• M-Theory on Deformed Superspace
• Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
• Deformation of the ABJM Theory
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• The Seiberg-Witten Map for a Time-dependent Background
• Seiberg-Witten map Invariant Scatterings
• Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles
• On The Complete Seiberg-Witten Map For Theories With Topological Terms
• Revisiting NCQED and scattering amplitudes