Structure of the string R-matrix

Torrielli, A (2009) Structure of the string R-matrix JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42 (5).

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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 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.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Authors Email ORCID Torrielli, A UNSPECIFIED UNSPECIFIED
Date :	6 February 2009
Identification Number :	10.1088/1751-8113/42/5/055204
Uncontrolled Keywords :	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
Related URLs :	Author
Additional Information :	Copyright 2009 Institute of Physics. This is the author's accepted manuscript.
Depositing User :	Symplectic Elements
Date Deposited :	12 Jan 2012 14:15
Last Modified :	23 Sep 2013 18:57
URI:	http://epubs.surrey.ac.uk/id/eprint/72396

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