• Open Access

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

Riccardo Borsato, Joakim Strömwall, and Alessandro Torrielli
Phys. Rev. D 97, 066001 – Published 7 March 2018

Abstract

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 two-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.

  • Received 16 December 2017

DOI:https://doi.org/10.1103/PhysRevD.97.066001

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. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Riccardo Borsato1,*, Joakim Strömwall2,†, and Alessandro Torrielli2,‡

  • 1Nordita, Stockholm University and KTH Royal Institute of Technology, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
  • 2Department of Mathematics, University of Surrey, Guildford GU2 7XH, United Kingdom

  • *riccardo.borsato@su.se
  • j.stromvall@surrey.ac.uk
  • a.torrielli@surrey.ac.uk

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Issue

Vol. 97, Iss. 6 — 15 March 2018

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