标题： 量子群对称性在正弦-高德纳和仿射托达场论中的应用 显示英文标题

标题： Quantum group symmetry in sine-Gordon and affine Toda field theories

摘要： 我们考虑在半线上具有经典可积边界条件的Sine-Gordon和仿射Toda场理论，并表明在量子理论中，由非局部电荷生成的体部分量子化仿射代数对称性的一个残余仍然存在。 该论文还建立了一个一般框架，通过求解某些量子化仿射代数的共对合子代数表示的交错性质，来获得反射方程的解。 显示英文摘要

摘要： We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of quantized affine algebras.