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Recent work by Zamolodchikov and others has uncovered a solvable irrelevantdeformation of general 2D CFTs, defined by turning on the dimension 4 operator$T \bar T$, the product of the left- and right-moving stress tensor. We proposethat in the holographic dual, this deformation represents a geometric cutoffthat removes the asymptotic region of AdS and places the QFT on a Dirichletwall at finite radial distance $r = r_c$ in the bulk. As a quantitative checkof the proposed duality, we compute the signal propagation speed, energyspectrum, and thermodynamic relations on both sides. In all cases, we obtain aprecise match. We derive an exact RG flow equation for the metric dependence ofthe effective action of the $T \bar T$ deformed theory, and find that itcoincides with the Hamilton-Jacobi equation that governs the radial evolutionof the classical gravity action in AdS.

Moving the CFT into the bulk with $T\bar T$