R-matrix presentation for (super)-Yangians Y(g)

Abstract

We give a unified RTT presentation of (super)-Yangians Y(g) for so(n), sp(2n) and osp(m|2n).

9 pages

References in corpus (3)

• Representations of reflection algebras
• Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line
• Twisted superYangians and their representations

Cited by in corpus (40)

• Coideal subalgebras in quantum affine algebras
• General boundary conditions for the sl(N) and sl(M|N) open spin chains
• On the R-matrix realization of Yangians and their representations
• A new fusion procedure for the Brauer algebra and evaluation homomorphisms
• Feigin-Frenkel center in types B, C and D
• Classification of reflection matrices related to (super) Yangians and application to open spin chain models
• Bethe Ansatz equations and exact S matrices for the osp(M|2n) open super spin chain
• Isomorphism between the $R$-matrix and Drinfeld presentations of Yangian in types $B$, $C$ and $D$
• Equivalences between three presentations of orthogonal and symplectic Yangians
• Twisted Yangians for symmetric pairs of types B, C, D
• On reflection algebras and twisted Yangians
• Representations of twisted Yangians of types B, C, D: I
• Super Yangian Y(osp(1|2)) and the Universal R-matrix of its Quantum Double
• Representations of the super Yangians of types $A$ and $C$
• A note on odd reflections of super Yangian and Bethe ansatz
• Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
• Yangian characters and classical W-algebras
• Yang-Baxter R-operators for osp superalgebras
• Representations of twisted Yangians of types B, C, D: II
• Twisted Yangians of small rank
• Representations of the orthosymplectic Yangian
• Representations of the Yangians associated with Lie superalgebras $\mathfrak{osp}(1|2n)$
• A Drinfeld-type presentation of the orthosymplectic Yangians
• Odd reflections in the Yangian associated with $\mathfrak{g}l(m|n)$
• Orthosymplectic superoscillator Lax matrices
• Isomorphism between two realizations of the Yangian Y(so_3)
• Superspin Chains Solutions from 4D Chern-Simons Theory
• Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups
• Folding QQ-relations and transfer matrix eigenvalues: towards a unified approach to Bethe ansatz for super spin chains
• Manin Matrices for Quadratic Algebras
• Commuting quantum traces: the case of reflection algebras
• Orthogonal and symplectic Yangians - linear and quadratic evaluations
• Affine $ı$quantum groups and twisted Yangians in Drinfeld presentations
• New spin generalisation for long range interaction models
• Representations of the super-Yangian of type $B(n,m)$
• Representations of the super-Yangian of type $D(n,m)$
• Reflection matrices for the $U_q[spo(2n|2m)]$ vertex model
• Orthosymplectic Yangians
• Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$
• Representations of orthogonal and symplectic Yangians