Rational K-matrices and representations of twisted Yangians

Rational K-matrices and representations of twisted Yangians
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有理 K 矩阵和扭曲 Yangians 的表示

DOI:
10.1088/0305-4470/35/37/302
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发表时间:
2002
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
Niall J. MacKay
Niall J. MacKay
中科院分区:
--
文献类型:
--
作者:
Niall J. MacKay

文献摘要

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本文描述了在1 + 1维可积场论中作为Yangians Y(g)的边界余项出现的扭曲Yangians Y(g,h)。我们描述和扩展我们最近建设的交织器的表示(合理的边界S-或'K'-矩阵),并进行逐案分析的所有对(g,h),给出H-分解的Y(g,h)-表示在可能的情况下。
We describe the twisted Yangians Y(g, h) which arise as boundary remnants of Yangians Y(g) in 1 + 1D integrable field theories. We describe and extend our recent construction of the intertwiners of their representations (the rational boundary S- or 'K'-matrices) and perform a case-by-case analysis for all pairs (g, h), giving the h-decomposition of Y(g, h)-representations where possible.