%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 }