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Holographic Action Principle for $T\bar{T}$-deformation (2407.16391v2)
Published 23 Jul 2024 in hep-th, cond-mat.stat-mech, gr-qc, and math.DG
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.