Rational K matrices and representations of twisted Yangians

May, 2002
16 pages
Published in:
  • J.Phys.A 35 (2002) 7865-7876
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Abstract:
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.
Note:
  • 16 pages. v3 has minor corrections and updates, and more detail on Casimir normalizations Subj-class: Quantum Algebra Journal-ref: J.Phys. A35 (2002) 7865-7876