Integrable Structure of Multispecies Zero Range Process
Mathematical Physics
2017-06-20 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic matrices of quantum affine algebra , matrix product construction of stationary states for periodic systems, -boson representation of Zamolodchikov-Faddeev algebra, etc. We also introduce new commuting Markov transfer matrices having a mixed boundary condition and prove the factorization of a family of matrices associated with the tetrahedron equation and generalized quantum groups at a special point of the spectral parameter.
Keywords
Cite
@article{arxiv.1701.07279,
title = {Integrable Structure of Multispecies Zero Range Process},
author = {Atsuo Kuniba and Masato Okado and Satoshi Watanabe},
journal= {arXiv preprint arXiv:1701.07279},
year = {2017}
}