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arXiv · 2204.00596

Disorder in AdS$_3$/CFT$_2$

Moritz Dorband·Daniel Grumiller·René Meyer·Suting Zhao
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Abstract

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 and compare with other approaches to averaging.

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Moritz Dorband, Daniel Grumiller, René Meyer, Suting Zhao. 2022-04-01. Disorder in AdS$_3$/CFT$_2$. https://doi.org/10.21468/scipostphys.16.1.017

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