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Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
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abstract
We investigate generic n-point correlation functions of conformal field theories (CFTs), with $T\bar{T}$ and $J\bar{T}$ deformations, in terms of the perturbative CFT approach. We systematically obtain the first order correction to the generic correlation functions of CFTs with $T\bar{T}$ or $J\bar{T}$ deformation. We compute the out-of-time ordered correlation function (OTOC) in the Ising model with $T\bar{T}$ or $J\bar{T}$ deformation, which confirms that these deformations do not change the integrable property up to the first order level.
Forward citations
Cited by 2 Pith papers
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Nonperturbative effects in $T\bar{T}$-deformed conformal field theories: A toy model for Planckian physics
A resummed two-point correlator in T-bar-T deformed CFT exhibits oscillation then logarithmic suppression at scales below the Planck length, with an effective distance that depends only logarithmically on separation.
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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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