Random walk of bipartite spins in a classicalized holographic tensor network

Abstract

We consider the random walk of spin-zero bipartite spins in the classicalized holographic tensor network of the ground state of a strongly coupled two-dimensional conformal field theory. The bipartite-spin distribution induces a metric in this network. In the steady state of the random walk, the induced metric gives the two-dimensional anti-de Sitter (AdS2) space metric. We consider this distribution as a microscopic statistical model of the AdS2 space metric.