Hidden Symmetries of the Principal Chiral Model Unveiled |
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Authors: | C. Devchand Jeremy Schiff |
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Affiliation: | (1) Department of Mathematics and Computer Science, Bar–Ilan University, Ramat Gan 52900, Israel, IL;(2) International Centre for Theoretical Physics, 34100 Trieste, Italy, IT |
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Abstract: | By relating the two-dimensional U(N) Principal Chiral Model to a simple linear system we obtain a free-field parametrisation of solutions. Obvious symmetry transformations on the free-field data give symmetries of the model. In this way all known “hidden symmetries” and B?cklund transformations, as well as a host of new symmetries, arise. Received: 20 November 1996 / Accepted: 25 April 1997 |
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