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q-Poincaré invariance of the AdS3/CFT2 R-matrix

Borsato, Riccardo, Strömwall, Joakim and Torrielli, Alessandro (2018) q-Poincaré invariance of the AdS3/CFT2 R-matrix Physical Review D, 97, 066001. 066001-1-066001-17.

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We consider the exact R-matrix of AdS3/CFT2, which is the building block for describing the scattering of worldsheet excitations of the light-cone gauge-fixed backgrounds AdS3 × S3 × T4 and AdS3 × S3 × S3 × S1 with pure Ramond-Ramond fluxes. We show that R is invariant under a “deformed boost” symmetry, for which we write an explicit exact coproduct, i.e. its action on 2-particle states. When we include the boost, the symmetries of the R-matrix close into a q-Poincaré superalgebra. Our findings suggest that the recently discovered boost invariance in AdS5/CFT4 may be a common feature of AdS/CFT systems that are treatable with the exact techniques of integrability. With the aim of going towards a universal formulation of the underlying Hopf algebra, we also propose a universal form of the AdS3/CFT2 classical r-matrix.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Borsato, Riccardo
Strömwall, Joakim
Date : 7 March 2018
Funders : Science and Technology Facilities Council (STFC)
DOI : 10.1103/PhysRevD.97.066001
Copyright Disclaimer : Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Depositing User : Clive Harris
Date Deposited : 13 Feb 2018 16:25
Last Modified : 11 Dec 2018 11:23

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