New spin generalisation for long range interaction models
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Abstract
We study new interactions between degrees of freedom for Calogero, Sutherland and confined Calogero spin models. These interactions are encoded by the generators of the Lie algebra so(N) or sp(N). We find the symmetry algebras of these new models: the half-loop algebra based on so(N) or sp(N) for the Calogero models and the Yangian of so(N) or sp(N) for the two types of other models. Surprisingly, these symmetry occur only for a specific value of the coupling constant.
Keywords
Cite
@article{arxiv.math-ph/0511062,
title = {New spin generalisation for long range interaction models},
author = {N. Crampe},
journal= {arXiv preprint arXiv:math-ph/0511062},
year = {2007}
}
Comments
10 pages