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Rational K-matrices and representations of twisted Yangians

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arxiv math/0205155 v3 pith:XUFQCHQ5 submitted 2002-05-14 math.QA hep-th

Rational K-matrices and representations of twisted Yangians

classification math.QA hep-th
keywords representationsyangiansboundarydescriberationaltwistedanalysisarise
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Twisted Yangians of types BI, CI, DI and Drinfeld type current relations

    math.QA 2026-07 conditional novelty 6.0

    For split types BI, CI, DI, the R-matrix and Drinfeld current presentations of twisted Yangians are isomorphic, confirming the Lu–Wang–Zhang conjecture, with closed-form Serre relations, PBW bases, and a tensor-factor...