This paper is our contribution to the study of TT̄-deformations. We consider the effect of TT̄-deformation of conformal field theories in perturbation theory. We use dimensional regularization scheme to perturbatively calculate the effect of the TT̄-deformation on the correlation functions of the CFT's primary fields. We provide the renormalization of the fields for the case of two-point correlation function.
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Daniil Menskoy (2024) studied this question.
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