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Geometric formulation of generalized root-$T\bar{T}$ deformations
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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.
Forward citations
Cited by 4 Pith papers
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On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.
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Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model
Instanton solutions with vanishing energy-momentum tensor remain solutions under analytic TTbar-like deformations, and the deformed CP^{N-1} model is equivalent to the undeformed model on a field-dependent unit-determ...
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$T\bar{T}$ deformation and multiple-flavor Lorentzian threads
TTbar-induced corrections to complexity=anything expand into generalized Willmore functionals that admit a local multi-flavor Lorentzian-thread decomposition by curvature sector.
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