Cutoff AdS$_3$ versus the $T\bar{T}$ deformation

Understand

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $T\bar{T}$ flow to AdS$_3$ with a finite radial cutoff.

• We investigate this proposal by studying perturbative correlation functions on the two sides.
• For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity.
• The deformed CFT also provides definite predictions for loop corrections in the bulk.