Yangian of AdS3/CFT2 and its deformation

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/CFT3 duality. We demonstrate that the R-matrix intertwining atypical modules is of a trigonometric type. 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.

21 pages, 1 figure. Final version. Accepted to J. Geom. and Phys

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Cited by in corpus (16)

• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
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• Three-parameter integrable deformation of Z_4 permutation supercosets
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• The S-matrix algebra of the AdS2 X S2 superstring
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• $q$-Poincaré supersymmetry in $Ad{S}_5/CF{T}_4$
• Boost generator in AdS_3 integrable superstrings for general braiding
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• A study of integrable form factors in massless relativistic AdS_3
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3
• Boosts superalgebras based on centrally-extended su(1|1)^2