Free field approach to diagonalization of boundary transfer matrix : recent advances
Free field approach to diagonalization of boundary transfer matrix : recent advances
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边界传输矩阵对角化的自由场方法：最新进展
DOI：
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发表时间：
2011
期刊：
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通讯作者：
T. Kojima
中科院分区：
文献类型：
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作者：
T. Kojima
我们对角化无穷多个交换算子TB（z）。我们称这些算子TB（z）为与量子群和椭圆量子群相关的边界转移矩阵。边界传递矩阵与带边界的可解模型有关。当我们对角化边界转移矩阵时，我们可以计算具有边界的可解模型的相关函数。本文综述了与Uq（A（2）2）和相关的边界转移矩阵TB（z）对角化的自由场方法。我们构造了边界转移矩阵TB（z）的特征向量的自由场实现。本文给出了Uq（A（2）2）的特征向量的新的未发表的公式.我们认为这种对角化方法可以推广到更一般的量子群Uq（g）和椭圆量子群Uq，p（g）。
We diagonalize infinitely many commuting operators TB(z). We call these operators TB(z) the boundary transfer matrix associated with the quantum group and the elliptic quantum group. The boundary transfer matrix is related to the solvable model with a boundary. When we diagonalize the boundary transfer matrix, we can calculate the correlation functions for the solvable model with a boundary. We review the free field approach to diagonalization of the boundary transfer matrix TB(z) associated with Uq(A(2)2) and . We construct the free field realizations of the eigenvectors of the boundary transfer matrix TB(z). This paper includes new unpublished formula of the eigenvector for Uq(A(2)2). It is thought that this diagonalization method can be extended to more general quantum group Uq(g) and elliptic quantum group Uq,p(g).