标题： 半直线上的正弦-高登和仿射托达场理论中的量子群对称性 显示英文标题

标题： Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

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量化仿射代数对称性仍会留下残余。 本文还建立了一个一般框架，通过求解某些量化仿射代数的余子代数表示的交织性质，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.