Geometric formulation of generalized root-$T\bar{T}$ deformations

Fuente: arXiv
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Autori principali: Babaei-Aghbolagh, H., He, Song, Morone, Tommaso, Ouyang, Hao, Tateo, Roberto
Natura: Preprint
Pubblicazione: 2024
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author Babaei-Aghbolagh, H.
He, Song
Morone, Tommaso
Ouyang, Hao
Tateo, Roberto
author_facet Babaei-Aghbolagh, H.
He, Song
Morone, Tommaso
Ouyang, Hao
Tateo, Roberto
contents We develop a generic geometric formalism that incorporates both $T\bar{T}$-like and root-$T\bar{T}$-like deformations in arbitrary dimensions. This framework applies to a wide family of stress-energy tensor perturbations and encompasses various well-known field theories. Building upon the recently proposed correspondence between Ricci-based gravity and $T\bar{T}$-like deformations, we further extend this duality to include root-$T\bar{T}$-like perturbations. This refinement extends the potential applications of our approach and contributes to a deeper exploration of the interplay between stress tensor perturbations and gravitational dynamics. Among the various original outcomes detailed in this article, we have also obtained a deformation of the flat Jackiw-Teitelboim gravity action.
format Preprint
id arxiv_https___arxiv_org_abs_2405_03465
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geometric formulation of generalized root-$T\bar{T}$ deformations
Babaei-Aghbolagh, H.
He, Song
Morone, Tommaso
Ouyang, Hao
Tateo, Roberto
High Energy Physics - Theory
We develop a generic geometric formalism that incorporates both $T\bar{T}$-like and root-$T\bar{T}$-like deformations in arbitrary dimensions. This framework applies to a wide family of stress-energy tensor perturbations and encompasses various well-known field theories. Building upon the recently proposed correspondence between Ricci-based gravity and $T\bar{T}$-like deformations, we further extend this duality to include root-$T\bar{T}$-like perturbations. This refinement extends the potential applications of our approach and contributes to a deeper exploration of the interplay between stress tensor perturbations and gravitational dynamics. Among the various original outcomes detailed in this article, we have also obtained a deformation of the flat Jackiw-Teitelboim gravity action.
title Geometric formulation of generalized root-$T\bar{T}$ deformations
topic High Energy Physics - Theory
url https://arxiv.org/abs/2405.03465