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q-Poincar´e supersymmetry in AdS5/CF T4

Borsato, R and Torrielli, Alessandro (2018) q-Poincar´e supersymmetry in AdS5/CF T4 Nuclear Physics B.

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Abstract

We consider the exact S-matrix governing the planar spectral problem for strings on AdS5× S 5 and N = 4 super Yang-Mills, and we show that it is invariant under a novel “boost” symmetry, which acts as a differentiation with respect to the particle momentum. This generator leads us also to reinterpret the usual centrally extended psu(2|2) symmetry, and to conclude that the S-matrix is invariant under a q-Poincar´e supersymmetry algebra, where the deformation parameter is related to the ’t Hooft coupling. We determine the twoparticle action (coproduct) that turns out to be non-local, and study the property of the new symmetry under crossing transformations. We look at both the strong-coupling (large tension in the string theory) and weak-coupling (spin-chain description of the gauge theory) limits; in the former regime we calculate the cobracket utilising the universal classical rmatrix of Beisert and Spill. In the eventuality that the boost has higher partners, we also construct a quantum affine version of 2D Poincar´e symmetry, by contraction of the quantum affine algebra Uq(slc2) in Drinfeld’s second realisation.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Borsato, R
Torrielli, Alessandroa.torrielli@surrey.ac.uk
Date : 3 February 2018
Funders : Science and Technology Facilities Council (STFC)
Identification Number : 10.1016/j.nuclphysb.2018.01.017
Copyright Disclaimer : © 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
Related URLs :
Depositing User : Melanie Hughes
Date Deposited : 22 Jan 2018 10:15
Last Modified : 05 Mar 2018 13:46
URI: http://epubs.surrey.ac.uk/id/eprint/845654

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