An algebraic approach to the Hubbard model
Mathematical Physics
2016-02-04 v2 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the algebraic structure of an integrable Hubbard-Shastry type lattice model associated with the centrally extended su(2|2) superalgebra. This superalgebra underlies Beisert's AdS/CFT worldsheet R-matrix and Shastry's R-matrix. The considered model specializes to the one-dimensional Hubbard model in a certain limit. We demonstrate that Yangian symmetries of the R-matrix specialize to the Yangian symmetry of the Hubbard model found by Korepin and Uglov. Moreover, we show that the Hubbard model Hamiltonian has an algebraic interpretation as the so-called secret symmetry. We also discuss Yangian symmetries of the A and B models introduced by Frolov and Quinn.
Cite
@article{arxiv.1509.06205,
title = {An algebraic approach to the Hubbard model},
author = {Marius de Leeuw and Vidas Regelskis},
journal= {arXiv preprint arXiv:1509.06205},
year = {2016}
}
Comments
10 pages; v2: references added