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.
Original language | English |
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Pages (from-to) | 675-695 |
Number of pages | 21 |
Journal | Communications in Mathematical Physics |
Volume | 190 |
Issue number | 3 |
DOIs | |
State | Published - 1998 |