Published January 1, 2017
| Version v1
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Calibrated entanglement entropy
- 1. Bogazici Univ, Dept Math, TR-34342 Bebek, Istanbul, Turkey
- 2. Univ Surrey Guildford, Dept Math, 388 Stag Hill, Guildford GU2 7XH, Surrey, England
- 3. Postech, Asia Pacific Ctr Theoret Phys, Pohang 37673, South Korea
- 4. Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
Description
The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated by the real part of the holomorphic one-form of a spacelike hypersurface. We show that (generalised) calibrations provide a unified way to determine holographic entanglement entropy from minimal surfaces, which is applicable to warped AdS(3) geometries. We briefly discuss generalisations to higher dimensions.
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