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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...
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