Current Algebra in Three Dimensions

1992/07/13 by G. Ferretti, Gabriele Ferretti, S. G. Rajeev · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1103/physrevlett.69.2033

published as Phys.Rev.Lett. 69 (1992) 2033-2036 · 11 pages, UR-1266, ER40685-720

arxiv created 1992/07/13 · openalex publication_date 1992/10/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study a three dimensional analogue of the Wess--Zumino--Witten model, which describes the Goldstone bosons of three dimensional Quantum Chromodynamics. The topologically non--trivial term of the action can also be viewed as a nonlinear realization of Chern--Simons form. We obtain the current algebra of this model by canonical methods. This is a three dimensional generalization of the Kac--Moody algebra.

Citations

• Global aspects of current algebra
• Topologically massive gauge theories

Cited by

• On the N = 2 supersymmetric σ model and Chern-Simons terms
• Higher derivative CP(N) model and quantization of the induced Chern-Simons term
• Random Matrix Theory and Three-Dimensional QCD
• Superfield formalism for the one loop effective action and CP(N) model in three dimensions