Correlation functions in the TsT/TT correspondence

A bstract We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS 3 × N with NS-NS flux and a single-trace TT 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 TT 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 wpp, where h is the spacetime conformal weight, is a deformation parameter, p and 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 TT 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 TsT/TT correspondence.