Algebraic Extensions of Gaudin Models

DOI

10.2991/jnmp.2005.12.s1.39How to use a DOI?

Abstract

We perform a Inönü­Wigner contraction on Gaudin models, showing how the integrbility property is preserved by this algebraic procedure. Starting from Gaudin models we obtain new integrable chains, that we call Lagrange chains, associated to the same linear r-matrix structure. We give a general construction involving rational, trigonmetric and elliptic solutions of the classical Yang-Baxter equation. Two particular examples are explicitly considered: the rational Lagrange chain and the trigonometric one. In both cases local variables of the models are the generators of the direct sum of N e(3) interacting tops.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Fabio Musso
AU  - Matteo Petrera
AU  - Orlando Ragnisco
PY  - 2005
DA  - 2005/01/01
TI  - Algebraic Extensions of Gaudin Models
JO  - Journal of Nonlinear Mathematical Physics
SP  - 482
EP  - 498
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.39
DO  - 10.2991/jnmp.2005.12.s1.39
ID  - Musso2005
ER  -