论文标题

开放式旋转链的Q操作器I:Baxter的TQ关系

A Q-operator for open spin chains I: Baxter's TQ relation

论文作者

Vlaar, Bart, Weston, Robert

论文摘要

我们为开放的XXZ Heisenberg量子自旋链构造了一个具有对角边界条件的QXZ Heisenberg量子自旋链,并对百特TQ关系进行了严格的推导。该理论中的关键作用是由反射方程的特定无限维解和$ u_q标准borel sublgebras(\ wideHat {\ mathfrak {sl sl} _2} _2} _q的标准borel subergebras的简短序列扮演的。由此产生的伯特方程与由Sklyanin的代数Bethe Ansatz产生的方程式相同。

We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the theory are played by a particular infinite-dimensional solution of the reflection equation and by short exact sequences of intertwiners of the standard Borel subalgebras of $U_q(\widehat{\mathfrak{sl}_2})$. The resulting Bethe equations are the same as those arising from Sklyanin's algebraic Bethe ansatz.

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