Orthogonal and symplectic Yangians: linear and quadratic evaluations

DOI10.1016/J.NUCLPHYSB.2018.05.022zbMath1395.81278arXiv1712.06849OpenAlexW2779223351WikidataQ57686834 ScholiaQ57686834MaRDI QIDQ1672265

Roland Kirschner, D. R. Karakhanyan

Publication date: 7 September 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06849

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05) Yang-Baxter equations (16T25)

Related Items (2)

Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains ⋮ Representations of orthogonal and symplectic Yangians

Cites Work

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• Orthogonal and symplectic Yangians and Yang-Baxter \(R\)-operators
• On the \(R\)-matrix realization of Yangians and their representations
• 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
• Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
• The spinorialR-matrix
• R -matrix presentation for super-Yangians Y(osp(m|2n))

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