Quantum chains with a Catalan tree pattern of conserved charges: the $\Delta = -1$ XXZ model and the isotropic octonionic chain
High Energy Physics - Theory
2016-09-06 v1 Condensed Matter
Exactly Solvable and Integrable Systems
solv-int
Abstract
A class of quantum chains possessing a family of local conserved charges with a Catalan tree pattern is studied. Recently, we have identified such a structure in the integrable -invariant chains. In the present work we find sufficient conditions for the existence of a family of charges with this structure in terms of the underlying algebra. Two additional systems with a Catalan tree structure of conserved charges are found. One is the spin 1/2 XXZ model with . The other is a new octonionic isotropic chain, generalizing the Heisenberg model. This system provides an interesting example of an infinite family of noncommuting local conserved quantities.
Cite
@article{arxiv.hep-th/9502051,
title = {Quantum chains with a Catalan tree pattern of conserved charges: the $\Delta = -1$ XXZ model and the isotropic octonionic chain},
author = {M. P. Grabowski and P. Mathieu},
journal= {arXiv preprint arXiv:hep-th/9502051},
year = {2016}
}
Comments
20 pages in plain TeX; uses macro harvmac