Classical integrability of two-dimensional non-linear sigma models |
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Affiliation: | Division of Theoretical Physics, Department of Mathematical Sciences, Chadwick Building, The University of Liverpool, Liverpool L69 3BX, England, UK |
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Abstract: | The conditions under which a general two-dimensional non-linear sigma model is classically integrable are given. These requirements are found by demanding that the equations of motion of the theory are expressible as a zero curvature relation. Some new integrable two-dimensional sigma models are then presented. |
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