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 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.
%0 Journal Article
%1 dorband2024disorder
%A Dorband, Moritz
%A Grumiller, Daniel
%A Meyer, René
%A Zhao, Suting
%D 2024
%I SciPost Foundation
%J SciPost Physics
%K c
%N 1
%P 017
%R 10.21468/SciPostPhys.16.1.017
%T Disorder in AdS$_3$/CFT$_2$
%U https://scipost.org/SciPostPhys.16.1.017
%V 16
%X 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 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.
@article{dorband2024disorder,
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 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.},
added-at = {2024-02-21T15:43:24.000+0100},
author = {Dorband, Moritz and Grumiller, Daniel and Meyer, René and Zhao, Suting},
biburl = {https://www.bibsonomy.org/bibtex/26f9b5060e339d0664591f2cc7a5f3f39/ctqmat},
day = 18,
doi = {10.21468/SciPostPhys.16.1.017},
interhash = {984363e3b64740bfedce366ab2ef0bba},
intrahash = {6f9b5060e339d0664591f2cc7a5f3f39},
journal = {SciPost Physics},
keywords = {c},
month = {01},
number = 1,
pages = 017,
publisher = {SciPost Foundation},
timestamp = {2024-02-21T15:43:24.000+0100},
title = {Disorder in AdS$_{\mathbf{3}}$/CFT$_{\mathbf{2}}$},
url = {https://scipost.org/SciPostPhys.16.1.017},
volume = 16,
year = 2024
}