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Boost generator in AdS3 integrable superstrings for general braiding

Nieto Garcia, Juan, Torrielli, Alessandro and Wyss, Leander (2020) Boost generator in AdS3 integrable superstrings for general braiding Journal of High Energy Physics.

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Abstract

In this paper we find a host of boost operators for a very general choice of coproducts in AdS3- inspired scattering theories, focusing on the massless sector, with and without an added trigonometric deformation. We find that the boost coproducts are exact symmetries of the R-matrices we construct, besides fulfilling the relations of modified Poincar´e-type superalgebras. In the process, we discover an ambiguity in determining the boost coproduct which allows us to derive differential constraints on our R-matrices. In one particular case of the trigonometric deformation, we find a non-coassociative structure which satisfies the axioms of a quasi-Hopf algebra.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Nieto Garcia, Juanj.nietogarcia@surrey.ac.uk
Torrielli, Alessandroa.torrielli@surrey.ac.uk
Wyss, Leanderl.wyss@surrey.ac.uk
Date : 30 July 2020
Funders : EPSRC-SFI
DOI : 10.1007/JHEP07(2020)223
Grant Title : EPSRC-SFI grant
Copyright Disclaimer : Open Access,c The Authors. Article funded by SCOAP3
Additional Information : Embargo OK Metadata OK No Further Action
Depositing User : James Marshall
Date Deposited : 08 Jul 2020 15:40
Last Modified : 03 Aug 2020 10:01
URI: http://epubs.surrey.ac.uk/id/eprint/858164

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