Quantum Group Symmetry in sine-Gordon and Affine Toda Field Theories on the Half-Line
Quantum Group Symmetry in sine-Gordon and Affine Toda Field Theories on the Half-Line
复制标题
半线上正弦戈登场论和仿射托达场论中的量子群对称性
DOI：
10.1007/s00220-002-0758-4
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发表时间：
2001
影响因子：
2.4
通讯作者：
N. Mackay
中科院分区：
文献类型：
--
作者：
G. Delius;N. Mackay
摘要：我们在具有经典可积边界条件的半线上考虑了正弦戈登场论和仿射托达场论，并表明在量子理论中，由非局域电荷产生的体量子化仿射代数对称性的残余仍然存在。本文还开发了一个通用框架，通过求解 Uq(ĝ) 的某些共理想子代数表示的交织性质来获得反射方程的解。
Abstract: 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 Uq(ĝ).