On correlators in $T\overline{T}$-deformed conformal field theories

D. D. Menskoy<sup>ab

a</sup> Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russia
^b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow

Abstract: We consider the effect of $T\overline T$-deformations in conformal field theories within the perturbation theory. A dimensional regularization scheme is used for a perturbative calculation of the contribution of the $T\overline T$-deformation to the correlation functions of primary fields of conformal field theory. Renormalization of fields in the case of a two-point correlation function is presented.

Keywords: $T\overline T$-deformation, conformal field theory, perturbation theory.

PACS: 11.10.Kk

MSC: 81T40

Received: 28.07.2024
Revised: 18.09.2024

DOI: 10.4213/tmf10797

 English version: Theoretical and Mathematical Physics, 2025, 222:3, 432–452

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