Multispecies TASEP and combinatorial $R$
Mathematical Physics
2015-08-06 v3 math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We identify the algorithm for constructing steady states of the -species totally asymmetric simple exclusion process (TASEP) on site periodic chain by Ferrari and Martin with a composition of combinatorial for the quantum affine algebra in crystal base theory. Based on this connection and the factorized form of the matrix derived recently from the tetrahedron equation, we establish a new matrix product formula for the steady state of the TASEP which is expressed in terms of corner transfer matrices of the -oscillator valued five-vertex model at .
Cite
@article{arxiv.1506.04490,
title = {Multispecies TASEP and combinatorial $R$},
author = {Atsuo Kuniba and Shouya Maruyama and Masato Okado},
journal= {arXiv preprint arXiv:1506.04490},
year = {2015}
}
Comments
16 pages, minor corrections