$T\bar{T}$-deformed correlators from a 2D gravity description

Fuente: arXiv
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Autori principali: Hirano, Shinji, Raj, Vinayak
Natura: Preprint
Pubblicazione: 2025
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author Hirano, Shinji
Raj, Vinayak
author_facet Hirano, Shinji
Raj, Vinayak
contents We study correlators in two-dimensional $T\bar{T}$-deformed conformal field theories by interpreting the $T\bar{T}$ deformation as a coupling to two-dimensional gravity. To demonstrate the utility of the massive gravity framework as a particular realization of the gravitational interpretation, we show how the $T\bar{T}$-deformed correlators at finite coupling can be computed by adopting a judicious parametrization of the 2D metric and a preferred choice of zweibeins. To illustrate how this method works in practice, we compute the leading logarithmic contributions to two- and three-point functions to all orders in the $T\bar{T}$ coupling, reproducing a known result while producing new findings. This framework generalizes the random geometry approach to finite coupling.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16256
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $T\bar{T}$-deformed correlators from a 2D gravity description
Hirano, Shinji
Raj, Vinayak
High Energy Physics - Theory
We study correlators in two-dimensional $T\bar{T}$-deformed conformal field theories by interpreting the $T\bar{T}$ deformation as a coupling to two-dimensional gravity. To demonstrate the utility of the massive gravity framework as a particular realization of the gravitational interpretation, we show how the $T\bar{T}$-deformed correlators at finite coupling can be computed by adopting a judicious parametrization of the 2D metric and a preferred choice of zweibeins. To illustrate how this method works in practice, we compute the leading logarithmic contributions to two- and three-point functions to all orders in the $T\bar{T}$ coupling, reproducing a known result while producing new findings. This framework generalizes the random geometry approach to finite coupling.
title $T\bar{T}$-deformed correlators from a 2D gravity description
topic High Energy Physics - Theory
url https://arxiv.org/abs/2507.16256