Yangian of AdS3/CFT2 and its deformation

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13 Citations (Scopus)


We construct highest-weight modules and a Yangian extension of the centrally extended sl(1|1)2 superalgebra, that is a symmetry of the worldsheet scattering associated with the AdS3/CFT2 duality. We demonstrate that the R-matrix intertwining atypical modules has an elegant trigonometric parametrization. We also consider a quantum deformation of this superalgebra, its modules, and obtain a quantum affine extension of the Drinfeld-Jimbo type that describes a deformed worldsheet scattering.

Original languageEnglish
Pages (from-to)213-233
Number of pages21
JournalJournal of Geometry and Physics
Early online date11 Apr 2016
Publication statusPublished - 1 Aug 2016


  • Integrability in AdS/CFT
  • Lie superalgebras
  • Quantum groups
  • Yangians


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