Recursion Relations for Long-Range Integrable Spin Chains with Open Boundary Conditions
High Energy Physics - Theory
2012-04-27 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
It is well known that integrable charges for short-range (e.g. nearest-neighbor) spin chains with periodic boundary conditions can be recursively generated by a so-called boost operator. In the past, this iterative construction has been generalized to periodic long-range spin chains as they appear in the context of the gauge/gravity correspondence. Here we introduce recursion relations for open long-range spin chain charges converting a short-range into a long-range integrable model.
Keywords
Cite
@article{arxiv.1201.0888,
title = {Recursion Relations for Long-Range Integrable Spin Chains with Open Boundary Conditions},
author = {Florian Loebbert},
journal= {arXiv preprint arXiv:1201.0888},
year = {2012}
}
Comments
5 pages, 2 figures, v2: comments added