We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS3 × \(\mathcal{N}\) with NS-NS flux and a single-trace \(T\overline{T }\) deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation functions using string theory and demonstrate their consistency with those of the \(T\overline{T }\) deformation. The two-point correlation function of the deformed theory on the plane, written in momentum space, is obtained from that of the undeformed theory by replacing h with \(h+2\frac{\widetilde{\lambda }}{w}p\overline{p }\) , where h is the spacetime conformal weight, \(\widetilde{\lambda }\) is a deformation parameter, p and \(\overline{p }\) are the momenta, and w labels the twisted sectors in the deformed symmetric product. At w = 1, the non-perturbative result satisfies the Callan-Symanzik equation for double-trace \(T\overline{T }\) deformed CFT derived in [1]. We also perform conformal perturbations on both the worldsheet CFT and the symmetric orbifold CFT as a sanity check. The perturbative and non-perturbative matching between results on the two sides provides further evidence of the conjectured \({\text{TsT}}/T\overline{T }\) correspondence.
