English

Orthosymplectic superoscillator Lax matrices

Mathematical Physics 2024-04-02 v2 High Energy Physics - Theory math.MP Quantum Algebra Representation Theory Exactly Solvable and Integrable Systems

Abstract

We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic RR-matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in arXiv:2001.06825, arXiv:2104.14518, and arXiv:2112.12065. We further establish factorisation formulas among the presented solutions.

Cite

@article{arxiv.2309.14199,
  title  = {Orthosymplectic superoscillator Lax matrices},
  author = {Rouven Frassek and Alexander Tsymbaliuk},
  journal= {arXiv preprint arXiv:2309.14199},
  year   = {2024}
}

Comments

v1: 25 pages, comments are welcome! v2: 26 pages, minor corrections, details added (including a new Appendix)

R2 v1 2026-06-28T12:31:41.420Z