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Disorder in AdS₃/CFT₂
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Disorder in AdS₃/CFT₂
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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.
Forward citations
Cited by 2 Pith papers
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
Exact finite-cutoff radial flow in 3D gravity realizes T̄T deformation, boundary dynamics is integrable via inverse scattering, but the radial flow itself is non-Hamiltonian.
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.
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