Researchers have demonstrated how two-dimensional gravity, specifically Jackiw-Teitelboim (JT) gravity, can emerge from a holographic Renormalization Group (RG) flow. This work is part of the "GR from RG" program, which seeks to derive gravity from field theory principles. The starting point is a generic two-dimensional conformal field theory (CFT) with a three-dimensional holographic description, assumed to be pure Einstein-AdS$_3$ gravity in the bulk.
The study analyzes the holographic RG flow for the 2D CFT action. They have found that the RG-corrected action at an arbitrary energy scale contains a two-dimensional scalar-tensor gravity theory. In its simplest form, this flow induces JT gravity, where the radial bulk lapse function acts as the seed for JT gravity's dynamical dilaton field. A particular case of this result is the recovery of the standard T$\bar{\text{T}}$ deformation of the 2D CFT in the Fefferman-Graham limit, where the lapse is held fixed.
The robustness of this RG-induced gravity picture has been verified through its consistency under holographic renormalization and by generalizing the result to a one-parameter family of boundary conditions. This work provides a first-principles derivation of JT gravity on a finite cutoff, presenting it as an intrinsic manifestation of holographic RG flow in a non-Fefferman-Graham gauge. This opens new avenues for understanding the emergence of gravity from quantum field theories.