Integrable chiral theories in 2 + 1 dimensions |
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Institution: | 1. Department of Biological Sciences, Auburn University, AL 36849, United States;2. Division of Basic Medical Sciences, Mercer University School of Medicine, Macon, GA 31207, United States |
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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. |
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