Structure of the string R-matrix

Abstract

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.

9 pages, LaTeX; typos corrected

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Cited by in corpus (10)

• The Bound State S-Matrix for AdS5 x S5 Superstring
• Yangians, S-matrices and AdS/CFT
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Universal blocks of the AdS/CFT Scattering Matrix
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• On the reflection of magnon bound states
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT