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

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Author(s):
Melikyan, A. ; Weber, G.
Total Authors: 2
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 11, p. 42-pg., 2012-11-01.
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 Mail let 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 Mail let's symmetric limit regularization prescription used for non-ultralocal algebras in the classical theory. (AU)

FAPESP's process: 11/20242-3 - The quantum integrability of continuous models and the computation of scattering amplitudes
Grantee:Gabriel Weber Martins
Support Opportunities: Scholarships in Brazil - Post-Doctoral