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Paper 1
The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2
Ning Bao, Aidan Chatwin-Davies
- Year
- 2016
- Journal
- arXiv preprint
- DOI
- arXiv:1609.01727
- arXiv
- 1609.01727
We present a constructive algorithm for the determination of Ryu-Takayanagi surfaces in AdS3/CFT2 which exploits previously noted connections between holographic entanglement entropy and max-flow/min-cut. We then characterize its complexity as a polynomial time algorithm.
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Localization of low-energy eigenfunctions in Seba billiards
Minjae Lee
- Year
- 2014
- Journal
- arXiv preprint
- DOI
- arXiv:1407.7077
- arXiv
- 1407.7077
We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the low-level modes to one side of the plate while assuming the Dirichlet boundary condition at a point does not induce this type of localization. This low-energy phenomenon extends to higher modes as we increase the eccentricity of the plate.
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