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Geometry of Massless Scattering in Integrable Superstring

Fontanella, A. and Torrielli, A. (2019) Geometry of Massless Scattering in Integrable Superstring Journal of High Energy Physics, 2019 (6), 116. pp. 1-34.

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Abstract

We consider the action of the q-deformed Poincaré superalgebra on the massless non-relativistic R-matrix in ordinary (undeformed) integrable AdS₂×S²×T⁶ type IIB superstring theory. The boost generator acts non-trivially on the R-matrix, confirming the existence of a non-relativistic rapidity γ with respect to which the R-matrix must be of difference form. We conjecture that from a massless AdS/CFT integrable relativistic R-matrix one can obtain the parental massless non-relativistic R-matrix simply by replacing the relativistic rapidity with γ. We check our conjecture in ordinary (undeformed) AdSn×Sn×T10−2n, n=2,3. In the case n=3, we check that the matrix part and the dressing factor - up to numerical accuracy for real momenta - obey our prescription. In the n=2 case, we check the matrix part and propose the non-relativistic dressing factor. We then start a programme of classifying R-matrices in terms of connections on fibre bundles. The conditions obtained for the connection are tested on a set of known integrable R-matrices.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Fontanella, A.a.fontanella@surrey.ac.uk
Torrielli, A.a.torrielli@surrey.ac.uk
Date : 24 June 2019
Funders : Science and Technology Facilities Council (STFC)
DOI : 10.1007/JHEP06(2019)116
Copyright Disclaimer : © 2019 The Authors. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Uncontrolled Keywords : Integrable Field Theories; AdS-CFT Correspondence; Quantum Groups; Supersymmetry and Duality
Depositing User : Clive Harris
Date Deposited : 19 Jun 2019 13:48
Last Modified : 05 Jul 2019 13:49
URI: http://epubs.surrey.ac.uk/id/eprint/852049

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