ar X iv : m at h / 06 10 50 5 v 2 [ m at h . Q A ] 1 1 O ct 2 00 7 Tau functions in combinatorial Bethe ansatz
نویسنده
چکیده
We introduce ultradiscrete tau functions associated with rigged configurations for A (1) n . They satisfy an ultradiscrete version of the Hirota bilinear equation and play a role analogous to a corner transfer matrix for the box-ball system. As an application, we establish a piecewise linear formula for the Kerov-Kirillov-Reshetikhin bijection in the combinatorial Bethe ansatz. They also lead to general N-soliton solutions of the box-ball system.
منابع مشابه
ar X iv : m at h / 06 10 50 5 v 1 [ m at h . Q A ] 1 7 O ct 2 00 6 Tau functions in combinatorial
We introduce ultradiscrete tau functions associated with rigged configurations for A (1) n . They satisfy an ultradiscrete version of the Hirota bilinear equation and play a role analogous to a corner transfer matrix for the box-ball system. As an application, we establish a piecewise linear formula for the Kerov-Kirillov-Reshetikhin bijection in the combinatorial Bethe ansatz. They also lead t...
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