Hidden Symmetries of the Principal Chiral Model Unveiled

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, Latex. A sentence and citation added

Scientific paper

10.1007/s002200050256

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\"acklund transformations, as
well as a host of new symmetries, arise.

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