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Holographic Action Principle for $T\bar{T}$-deformation
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abstract
We explore the action principle for the holographic $T\bar{T}$-deformation. We develop a scheme in which one can holographically reproduce the action of the Liouville theory deformed by $T\bar{T}$-insertion. This scheme necessitates considering the bending energy of the finite cut-off surface. Following our proposal, one observes a perfect match between the actions of deformed theory on the field theory and gravity sides.
Forward citations
Cited by 2 Pith papers
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The On-shell Gravity Action and Linear Dilaton Holography
The Euclidean on-shell action for linear-dilaton three-dimensional string backgrounds yields a spacetime mass whose square-root form matches the TT-deformed CFT energy formula.
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The holographic $\textrm{T}\overline{\textrm{T}}$ deformation of the CFT$_2$ with gravitational anomalies
The TTbar deformation of an anomalous CFT2 has a working holographic model in topological massive gravity, with a universal deformed spectrum and matching entanglement observables.
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