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Structure of the string R-matrix
Journal article   Open access   Peer reviewed

Structure of the string R-matrix

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol.42(5), pp.055204-?
06/02/2009

Abstract

Science & Technology Physical Sciences Physics Multidisciplinary Physics Mathematical Physics ADS(5) X S-5 SUPER-YANG-MILLS SIMPLE LIE-SUPERALGEBRAS BETHE-ANSATZ N=4 SYM GIANT MAGNONS S-MATRIX DILATATION OPERATOR BAXTER EQUATIONS BOUND-STATES
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 ui. 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 u1−u2, 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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http://dx.doi.org/10.1088/1751-8113/42/5/055204View
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