Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains
High Energy Physics - Theory
2012-08-28 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We present an integrability-preserving recursion relation for the explicit construction of long-range spin chain Hamiltonians. These chains are generalizations of the Haldane-Shastry and Inozemtsev models and they play an important role in recent advances in string/gauge duality. The method is based on arbitrary nearest-neighbour integrable spin chains and it sheds light on the moduli space of deformation parameters. We also derive the closed chain asymptotic Bethe equations.
Cite
@article{arxiv.0807.5081,
title = {Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains},
author = {Till Bargheer and Niklas Beisert and Florian Loebbert},
journal= {arXiv preprint arXiv:0807.5081},
year = {2012}
}
Comments
10 pages, v2: reference added, minor changes, v3: published version with added/updated references