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arXiv · 1209.6042

The r-matrix of the Alday-Arutyunov-Frolov model

A. Melikyan·G. Weber
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Abstract

We investigate the classical integrability of the Alday-Arutyunov-Frolov model, and show that the Lax connection can be reduced to a simpler 2 x 2 representation. Based on this result, we calculate the algebra between the L-operators and find that it has a highly non-ultralocal form. We then employ and make a suitable generalization of the regularization technique proposed by Maillet for a simpler class of non-ultralocal models, and find the corresponding r- and s-matrices. We also make a connection between the operator-regularization method proposed earlier for the quantum case, and the Maillet's symmetric limit regularization prescription used for non-ultralocal algebras in the classical theory.

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A. Melikyan, G. Weber. 2014-01-29. The r-matrix of the Alday-Arutyunov-Frolov model. https://doi.org/10.1007/jhep11(2012)165

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