Super Yangian Y(osp(1|2)) and the Universal R-matrix of its Quantum Double

Abstract

We present the Drinfel'd realisation of the super Yangian Y(osp(1|2)), including the explicit expression for the coproduct. We show in particular that it is necessary to introduce supplementary Serre relations. The construction of its quantum double is carried out. This allows us to give the universal R-matrix of DY(osp(1|2)).

Latex2e, 21 pages

References in corpus (1)

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

Cited by in corpus (12)

• Yangians, S-matrices and AdS/CFT
• Quantum Energy Inequalities and local covariance I: Globally hyperbolic spacetimes
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Hopf structure of the Yangian Y(sl_n) in the Drinfel'd realisation
• Mass Dependence of Quantum Energy Inequality Bounds
• Representations of the Yangians associated with Lie superalgebras $\mathfrak{osp}(1|2n)$
• Representations of the orthosymplectic Yangian
• A Drinfeld-type presentation of the orthosymplectic Yangians
• The Yangian of sl(n|m) and the universal R-matrix
• Universal R-matrix of quantum affine gl(1,1)
• Orthosymplectic Yangians
• Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$