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.