English

Rational K-matrices and representations of twisted Yangians

Quantum Algebra 2008-11-26 v3 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.math/0205155,
  title  = {Rational K-matrices and representations of twisted Yangians},
  author = {N. J. MacKay},
  journal= {arXiv preprint arXiv:math/0205155},
  year   = {2008}
}

Comments

16 pages. v3 has minor corrections and updates, and more detail on Casimir normalizations

R2 v1 2026-07-22T16:45:23.112Z