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 Bäcklund transformations, as well as a host of new symmetries, arise.
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Received: 20 November 1996 / Accepted: 25 April 1997
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Devchand, C., Schiff, J. Hidden Symmetries of the Principal Chiral Model Unveiled . Comm Math Phys 190, 675–695 (1998). https://doi.org/10.1007/s002200050256
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DOI: https://doi.org/10.1007/s002200050256