Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs

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.

34 pages

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Cited by in corpus (3)

• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• On correlators in $T\bar{T}$-deformed conformal field theories