Disorder in AdS/CFT
arXiv:2204.00596 · doi:10.21468/SciPostPhys.16.1.017
Abstract
We perturbatively study marginally relevant quenched disorder in AdS/CFT to second order in the disorder strength. Using the Chern-Simons formulation of AdS 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.
29 pages, v2: citations added, v3/v4: added further discussion and references, v5: added small clarifications, v6: added new section 5 and small clarifications, v7: extended section 5
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