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Correlation Functions in the TsT/$T{\bar T}$ Correspondence
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abstract
We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS$_3\times {\cal N}$ with NS-NS flux and a single-trace $T\bar{T}$ 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 $T\bar{T}$ 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 $h+2{\tilde \lambda\over w} p\bar p$, where $h$ is the spacetime conformal weight, $\tilde \lambda$ is a deformation parameter, $p$ and $\bar p$ 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 $T\bar T$ 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/$T\bar{T}$ correspondence.
Forward citations
Cited by 4 Pith papers
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$T\bar{T}$-deformed correlators from a 2D gravity description
Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...
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For string theory on AdS3 at k=1 the paper builds winding-one worldsheet operators that reproduce the chiral algebra of the boundary symmetric-product theory R × T3, and derives T̄T-deformed two-point functions for cu...
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