From Dynamical to Numerical R-Matrices: A Case Study for the Calogero Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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52 pages, Latex

Scientific paper

10.1016/S0550-3213(03)00536-4

Within the class of integrable Calogero models associated with (semi-)simple
Lie algebras and with symmetric pairs of Lie algebras identified in a previous
paper, we analyze whether and to what extent it is possible to find a gauge
transformation that takes the traditional Lax pair with its dynamical R-matrix
to a new Lax pair with a numerical R-matrix.

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