Disorder in AdS$_3$/CFT$_2$
Moritz Dorband, Daniel Grumiller, René Meyer, Suting Zhao
SciPost Phys. 16, 017 (2024) · published 18 January 2024
- doi: 10.21468/SciPostPhys.16.1.017
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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 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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Moritz Dorband,
- 3 4 Daniel Grumiller,
- 1 2 René Meyer,
- 1 2 Suting Zhao
- 1 Julius-Maximilians-Universität Würzburg / University of Würzburg
- 2 Würzburg-Dresden Cluster of Excellence [ct.qmat]
- 3 Technische Universität Wien / Vienna University of Technology [TUW]
- 4 沖縄科学技術大学院大学 / Okinawa Institute of Science and Technology [OIST]
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
- China Scholarship Council
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]