On string theory on (deformed) AdS₃ T³

We revisit the fermionic string theory on AdS₃ N with k=1, and its single-trace T T deformation, with a focus on the (2, 2) superstring on (deformed) AdS₃ T³. In a certain limit, it is dual to the symmetric product of the (T T-deformed) SCFT₂ on R T³. We present the winding-one delta-function normalizable worldsheet operators which, in the k=1 decoupling limit, correspond to those of R T³ in spacetime. We then demonstrate how their properties in string theory reproduce those of R³, or more generally, of a (TT-deformed) R seed of the boundary theory.