Orthosymplectic superoscillator Lax matrices

Abstract

We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic $R$-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.

arXiv commentv1: 25 pages, comments are welcome! v2: 26 pages, minor corrections, details added (including a new Appendix)

References in corpus (23)

• Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
• T-systems and Y-systems in integrable systems
• Integrable structure of W_3 Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Parabolic presentations of the Yangian Y(gl_n)
• Baxter's Q-operators for supersymmetric spin chains
• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Solutions of the T-system and Baxter equations for supersymmetric spin chains
• Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
• Fast analytic solver of rational Bethe equations
• Oscillator Construction of su(n|m) Q-Operators
• R-matrix presentation for (super)-Yangians Y(g)
• Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
• R-matrices and Spectrum of Vertex Models based on Superalgebras
• Asymptotic representations and q-oscillator solutions of the graded Yang-Baxter equation related to Baxter Q-operators
• A note on $q$-oscillator realizations of $U_q(gl(M|N))$ for Baxter $Q$-operators
• Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
• Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
• Representations of the super Yangians of types $A$ and $C$
• Yang-Baxter R-operators for osp superalgebras
• A Family of ${\mathrm{GL}}_r$ Multiplicative Higgs Bundles on Rational Base
• Transfer matrices of rational spin chains via novel BGG-type resolutions
• Folding QQ-relations and transfer matrix eigenvalues: towards a unified approach to Bethe ansatz for super spin chains

Cited by in corpus (3)

• Folding QQ-relations and transfer matrix eigenvalues: towards a unified approach to Bethe ansatz for super spin chains
• Complex D($2,1;\zeta$) and spin chain solutions from Chern-Simons theory
• Orthosymplectic Yangians