We perturbatively study marginally relevant quenched disorder in
    AdS$_3$/CFT$_2$ to second order in the disorder strength. Using the
    Chern-Simons formulation of AdS$_3$ gravity for the Poincar\’e 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 Poincar\’e-Lindstedt-inspired resummation method. We
    discuss how this method enables us to remove all of the unphysical features.

    Source link


    Leave A Reply