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The bound state S-matrix for AdS(5) x S-5 superstring

Arutyunov, G, de Leeuw, M and Torrielli, A (2009) The bound state S-matrix for AdS(5) x S-5 superstring NUCLEAR PHYSICS B, 819 (3). 319 - 350. ISSN 0550-3213

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Abstract

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 × S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations. The basic analytic structure supporting the S-matrix entries turns out to be the hypergeometric function 4F3. We show that for particular bound state numbers it reproduces all the scattering matrices previously obtained in the literature. Our findings should be relevant for the TBA and L¨uscher approaches to the finite-size spectral problem. They also shed some light on the construction of the universal R-matrix for the centrally-extended psu(2|2) superalgebra.

Item Type: Article
Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nuclear Physics B, 819(3), October 2009, DOI 10.1016/j.nuclphysb.2009.03.024.
Uncontrolled Keywords: Science & Technology, Physical Sciences, Physics, Particles & Fields, Physics, BETHE-ANSATZ, GIANT MAGNONS, STRINGS, ADS/CFT, EQUATIONS, GAUGE
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 13 Jan 2012 10:45
Last Modified: 23 Sep 2013 18:58
URI: http://epubs.surrey.ac.uk/id/eprint/72397

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