Abstract
We study stress-tensor correlators in the \( T\overline{T} \)-deformed conformal field theories in two dimensions. Using the random geometry approach to the \( T\overline{T} \) deformation, we develop a geometrical method to compute stress-tensor correlators. More specifically, we derive the \( T\overline{T} \) deformation to the Polyakov-Liouville conformal anomaly action and calculate three and four-point correlators to the first-order in the \( T\overline{T} \) deformation from the deformed Polyakov-Liouville action. The results are checked against the standard conformal perturbation theory computation and we further check consistency with the \( T\overline{T} \)-deformed operator product expansions of the stress tensor. A salient feature of the \( T\overline{T} \)-deformed stress-tensor correlators is a logarithmic correction that is absent in two and three-point functions but starts appearing in a four-point function.
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ArXiv ePrint: 2012.03972
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Hirano, S., Nakajima, T. & Shigemori, M. \( T\overline{T} \) Deformation of stress-tensor correlators from random geometry. J. High Energ. Phys. 2021, 270 (2021). https://doi.org/10.1007/JHEP04(2021)270
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DOI: https://doi.org/10.1007/JHEP04(2021)270