标题： 通过辫子型Yang-Baxter方程生成可积量子非超局部模型 显示英文标题

标题： Generation of Integrable Quantum Nonultralocal Model through Braided Yang-Baxter Equation

摘要： 将量子可积性形式化为非超局部模型（NM）的方法，类似于熟悉的逆散射方法，是一个长期存在的问题。 在回顾了我们关于超局部模型的代数结构的结果后，我们寻找NM背后的代数基础。 我们提出了一种普适方程，由辫子型Yang-Baxter方程表示，并能够推导出已知模型的所有基本方程，如WZWN模型、非阿贝尔Toda链、量子映射等。 作为进一步的有用应用，我们发现了新的可积量子NM，例如mKdV模型、任意子模型、Kundu-Eckhaus方程，并从非超局部的角度推导出SUSY模型和反射方程。 显示英文摘要

摘要： Formulating quantum integrability for nonultralocal models (NM) parallel to the familiar approach of inverse scattering method is a long standing problem. After reviewing our result regarding algebraic structures of ultralocal models, we look for the algebra underlying NM. We propose an universal equation represented by braided Yang-Baxter equation and able to derive all basic equations of the known models like WZWN model, nonabelian Toda chain, quantum mapping etc. As further useful application we discover new integrable quantum NM, e.g. mKdV model, anyonic model, Kundu-Eckhaus equation and derive SUSY models and reflection equation from the nonultralocal view point.