Multispecies TASEP and combinatorial R

被引:13
|
作者
Kuniba, Atsuo [1 ]
Maruyama, Shouya [1 ]
Okado, Masato [2 ]
机构
[1] Univ Tokyo, Inst Phys, Tokyo 1538902, Japan
[2] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan
关键词
multispecies TASEP; combinatorial R; tetrahedron equation; crystal base; REPRESENTATION; CRYSTALS;
D O I
10.1088/1751-8113/48/34/34FT02
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We identify the algorithm for constructing steady states of the n-species totally asymmetric simple exclusion process (TASEP) on an L site periodic chain by Ferrari and Martin with a composition of combinatorial R for the quantum affine algebra U-q((sl) over cap (L)). in crystal base theory. Based on this connection and the factorized form of the R 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 q-oscillator valued five-vertex model at q = 0.
引用
收藏
页数:19
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