We investigate the proposed holographic duality between the TsT
transformation of IIB string theory on AdS3​×N with NS-NS flux
and a single-trace TTˉ 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 TTˉ
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+2wλ~​ppˉ​, where h is
the spacetime conformal weight, λ~ is a deformation parameter,
p and pˉ​ 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 TTˉ deformed CFT derived in
\cite{Cardy:2019qao}. 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 TsT/TTˉ correspondence.Comment: 35 page