Yangian of AdS3/CFT2 and its deformation

Vidas Regelskis

doi:10.1016/j.geomphys.2016.04.001

Yangian of AdS₃/CFT₂ and its deformation

Vidas Regelskis

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	213-233
Number of pages	21
Journal	Journal of Geometry and Physics
Volume	106
Early online date	11 Apr 2016
DOIs	https://doi.org/10.1016/j.geomphys.2016.04.001
Publication status	Published - 1 Aug 2016

Keywords

Integrability in AdS/CFT
Lie superalgebras
Quantum groups
Yangians

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AB - 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.

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KW - Lie superalgebras

KW - Quantum groups

KW - Yangians

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ER -

Yangian of AdS₃/CFT₂ and its deformation

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Keywords

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