Structure of the string R-matrix

Details Structure of the string R-matrix Structure of the string R-matrix

2008-06-09

arxiv.org/abs/0806.1299v2

J.Phys.A42:055204,2009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX; typos corrected

Scientific paper

10.1088/1751-8113/42/5/055204

By 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.

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