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Yangian of AdS3/CFT2 and its deformation

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.

preprint2016arXivOpen access
Vidas Regelskis
math-phmath.QAmath.MPhep-th
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Vidas Regelskis

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