Disorder in AdS3/CFT2

Abstract

We perturbatively study marginally relevant quenched disorder in AdS3/CFT2 to second order in the disorder strength. Using the Chern-Simons formulation of AdS3 gravity for the Poincaré patch, we introduce disorder via the chemical potentials. We discuss the bulk and boundary properties resulting from the disorder-averaged metric. The disorder generates a small mass and angular momentum. In the bulk and the boundary, we find unphysical features due to the disorder average. Motivated by these features, we propose a Poincaré-Lindstedt-inspired resummation method. We discuss how this method enables us to remove all of the unphysical features and compare with other approaches to averaging.