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arXiv · 2405.03465

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

H. Babaei-Aghbolagh·Song He·Tommaso Morone·Hao Ouyang·Roberto Tateo
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Abstract

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.

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H. Babaei-Aghbolagh, Song He, Tommaso Morone, Hao Ouyang, Roberto Tateo. 2024-05-06. Geometric formulation of generalized root-$T\bar{T}$ deformations. https://doi.org/10.1103/physrevlett.133.111602

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