Jordan-Schwinger Representations and Factorised Yang-Baxter Operators

Abstract

The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the restricted class of Jordan-Schwinger representations. The latter are formulated explicitly. On this basis the parameter exchange and intertwining operators are derived.

based on a contribution to ISQS2009

References in corpus (4)

• R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
• Yang-Baxter R operators and parameter permutations
• Baxter Q-operators of the XXZ chain and R-matrix factorization
• Factorization of R-matrix and Baxter's Q-operator

Cited by in corpus (4)

• Yang-Baxter operators and scattering amplitudes in $\mathcal{N}=4$ super-Yang-Mills theory
• Yangian symmetric correlators
• Orthogonal and symplectic Yangians and Yang-Baxter R-operators
• Correlators with $s{\ell }_2$ Yangian symmetry