Structure of the string R-matrix

dc.creatorTorrielli, Alessandro
dc.date2008-06-09
dc.date2008-06-18
dc.date.accessioned2026-07-07T12:26:56Z
dc.date.available2026-07-07T12:26:56Z
dc.descriptionBy requiring invariance directly under the Yangian symmetry, we rederive Beisert's quantum R-matrix, in a form that carries explicit dependence on the representation labels, the braiding factors, and the spectral parameters u_i. In this way, we demonstrate that there exist a rewriting of its entries, such that the dependence on the spectral parameters is purely of difference form. Namely, the latter enter only in the combination u_1-u_2, as indicated by the shift automorphism of the Yangian. When recasted in this fashion, the entries exhibit a cleaner structure, which allows to spot new interesting relations among them. This permits to package them into a practical tensorial expression, where the non-diagonal entries are taken care by explicit combinations of symmetry algebra generators.
dc.description9 pages, LaTeX; typos corrected
dc.identifierhttps://arxiv.org/abs/0806.1299
dc.identifierhttp://arxiv.org/abs/0806.1299
dc.identifierJ.Phys.A42:055204,2009
dc.identifierdoi:10.1088/1751-8113/42/5/055204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215041
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleStructure of the string R-matrix
dc.typetext

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