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 (TT̄-deformed) R seed of the boundary theory.