Super Yangian Double and its Central Extension

Abstract

We introduce super Yangian double $D{Y}_{\hslash }[gl(m|n)]$ and its central extension $\widehat{D{Y}_{\hslash }[gl(m|n)]}$. We give their defining relations in terms of current generators and obtain Drinfeld comultiplication.

Some errors and misprints corrected. 8 pages, Latex file

References in corpus (4)

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• Yangian of the Strange Lie Superalgebra of ${\mathbf{Q}}_{\mathbf{n}-1}$ Type, Drinfel'd Approach
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra $U_q[osp(2|2{)}^{(2)}]$}
• Double Yangian and reflection algebras of the Lie superalgebra ${\mathfrak{gl}}_{m|n}$
• A note on the quantum Berezinian for the double Yangian of the Lie superalgebra ${\mathfrak{gl}}_{m|n}$
• Quantum Berezinian for quantum affine superalgebra $U_q({\widehat{gl}}_{M|N})$