Mitchell Institute for Fundamental Physics & Astronomy
College Station, Texas 77843
In this talk, we discuss the recently proposed connection between the Multi-scale Entanglement Renormalization Ansatz (MERA) and the space of geodesics of the hyperbolic plane (kinematic space). The upshot of this proposal is that kinematic space serves as a mediator between the boundary of AdS and the bulk geometry analogous to an integral transform. Most of the kinematic space literature so far focuses on the cases of the vacuum or thermal state, and it is important to test the proposal when the bulk geometry is less trivial. As a first step in this direction, we consider an interface CFT and compare the structure of the kinematic space with known results from the tensor network community. In particular, the so-called Minimal Update Conjecture is compared with kinematic space.