Integrable Chiral Theories in 2+1 Dimensions

Abstract

Following a recent proposal for integrable theories in higher dimensions based on zero curvature, new Lorentz invariant submodels of the principal chiral model in 2+1 dimensions are found. They have infinite local conserved currents, which are explicitly given for the su(2) case. The construction works for any Lie algebra and in any dimension, and it is given explicitly also for su(3). We comment on the application to supersymmetric chiral models.

13 pages

References in corpus (4)

• A New Approach to Integrable Theories in any Dimension
• A Note on Ward's Chiral Model
• Geodesic incompleteness in the CP^1 model on a compact Riemann surface
• Nonlinear Sigma Models in (1+2)-Dimensions and An Infinite Number of Conserved Currents

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• Submodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents, Exact Solutions
• Integrability in Theories with Local U(1) Gauge Symmetry
• A Generalization of the Submodel of Nonlinear CP^1 Models
• Noncommutative Nonlinear Sigma Models and Integrability