A family of multispecies drop-push system on a one-dimensional lattice is investigated. It is shown that this family is solvable in the sense of the Bethe ansatz, provided a nonspectral matrix equation is satisfied. The large-time behavior of the conditional probabilities, and the dynamics of the particle-type change are also investigated. PACS numbers: 05.40.-a, 02.50.Ga

Jan 1, 20037 citations

Nuclear Physics B

Local state probabilities of solvable lattice models: An A−1(1) family

Michio Jimbo, Tetsuji Miwa, Masato Okado

Published Jan 1, 1988• 152 citations

Publisher

DOI: 10.1016/0550-3213(88)90587-1

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Local State Probabilities of Solvable Lattice Models: Relatives of

A_{n}^{(1)}

Family

We present the results for the local state probabilities (LSP) of the solvable lattice models, constructed around rational conformal field theory given by WZW model on

SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}

together with primary field

ϕ_{1}

(symmetric tensor of degree 2). Some conjectures for the LSP for some higher rank relatives of

A_{n}^{(1)}

face models are also presented.