四面体方程、边界态和U_q(D_n^1)的隐结构
Tetrahedron equations, boundary states and hidden structure of U_q(D_n^1)
摘要:
四面体方程的简单周期3d->2d紧化给出了U_q(sl_n)的各种求值表示的Yang-Baxter方程。本文构造了一个固定的非周期三维边界条件的例子,得到了一组关于U_q(D_n^1)的Yang-Baxter方程。这些边界条件类似于隐藏方向上的融合。
英文摘要:
Simple periodic 3d->2d compactification of the tetrahedron equations gives the Yang-Baxter equations for various evaluation representations of U_q(sl_n). In this paper we construct an example of fixed non-periodic 3d boundary conditions producing a set of Yang-Baxter equations for U_q(D_n^1). These boundary conditions resemble a fusion in hidden direction.
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