Entanglement Renormalization of a $T\bar{T}$-deformed CFT

Abstract

In this work we use cMERA, a continuous tensor network, to study a T T -deformed scalar CFT on the line. We show that the entanglement renormalization flow implemented by a (Gaussian) cMERA captures some features which fit well with the known properties of the interacting theory. We discuss about the non-localities induced by the T T deformation at some length scales by computing the entanglement entropy on the cMERA optimized state. We find that the kind of non-locality generated by those terms can be considered as a mild-one, in the sense that it does not violate the area law of entanglement. In the context of the conjectured connection between cMERA and holography, we find that at first insight a finite bulk radius can be defined in the putative geometric dual description of cMERA. However, the entropy analysis contradicts the proposal that no geometry can be ascribed to the region outside this radial cutoff.