Solutions of Discretized Affine Toda Field Equations for A n (1) , B n (1) , C n (1) , D n (1) , A n (2) and D n+1 (2)
Solutions of Discretized Affine Toda Field Equations for A n (1) , B n (1) , C n (1) , D n (1) , A n (2) and D n+1 (2)
复制标题
A n (1) 、B n (1) 、C n (1) 、D n (1) 、A n (2) 和 D n 1 (2) 的离散仿射 Toda 场方程的解
DOI：
10.1143/jpsj.66.3391
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发表时间：
1996
影响因子：
1.7
通讯作者：
Z. Tsuboi
中科院分区：
文献类型：
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作者：
Z. Tsuboi
众所周知，一族传递矩阵函数方程，即T系统，可以紧凑地表示为简单李代数的Cartan矩阵。我们将单李代数的Cartan矩阵形式地替换为仿射李代数的Cartan矩阵，从而得到了不同于T-系统的函数方程组。它可以看作是离散时空上的Xn(A)型仿射Toda场方程。我们给出了An(1)，Bn(1)，Cn(1)，Dn(1)，An(2)和Dn+1(2)的行列式或Pfaffian形式的解。
It is known that a family of transfer matrix functional equations, the T-system, can be compactly written in terms of the Cartan matrix of a simple Lie algebra. We formally replace this Cartan matrix of a simple Lie algebra with that of an affine Lie algebra, and then we obtain a system of functional equations different from the T-system. It may be viewed as an X n ( a ) type affine Toda field equation on discrete space time. We present, for A n (1) , B n (1) , C n (1) , D n (1) , A n (2) and D n +1 (2) , its solutions in terms of determinants or Pfaffians.