(Quantum) twisted Yangians: symmetry, Baxterisation and centralizers

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dc.creatorCrampe, Nicolas
dc.creatorDoikou, Anastasia
dc.date2006-11-13
dc.date2007-02-05
dc.date.accessioned2026-07-07T10:42:37Z
dc.date.available2026-07-07T10:42:37Z
dc.descriptionBased on the (quantum) twisted Yangians, integrable systems with special boundary conditions, called soliton non-preserving (SNP), may be constructed. In the present article we focus on the study of subalgebras of the (quantum) twisted Yangians, and we show that such a subalgebra provides an exact symmetry of the rational transfer matrix. We discuss how the spectrum of a generic transfer matrix may be obtained by focusing only on two types of special boundaries. It is also shown that the subalgebras, emerging from the asymptotics of tensor product representations of the (quantum) twisted Yangian, turn out to be dual to the (quantum) Brauer algebra. To deal with general boundaries in the trigonometric case we propose a new algebra, which also provides the appropriate framework for the Baxterisation procedure in the SNP case.
dc.description23 pages, Latex. Minor typos correted, acknowledgments added. J. Math. Phys. Vol. 48 (2007), to appear
dc.identifierhttps://arxiv.org/abs/math-ph/0611030
dc.identifierhttp://arxiv.org/abs/math-ph/0611030
dc.identifierJ.Math.Phys.48:023511,2007
dc.identifierdoi:10.1063/1.2437851
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182011
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.title(Quantum) twisted Yangians: symmetry, Baxterisation and centralizers
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