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

Babaei-Aghbolagh, H.; He, Song; Morone, Tommaso; Ouyang, Hao; Tateo, Roberto

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

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He, Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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2405.03465.pdf
(プレプリント), 230KB

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引用

Babaei-Aghbolagh, H., He, S., Morone, T., Ouyang, H., & Tateo, R. (in preparation). Geometric formulation of generalized root-$T\bar{T}$ deformations.

引用: https://hdl.handle.net/21.11116/0000-000F-3FF9-3

要旨

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.