Abstract
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 AdS3 geometries. We briefly discuss generalisations to higher dimensions.
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Bakhmatov, I., Deger, N.S., Gutowski, J. et al. Calibrated entanglement entropy. J. High Energ. Phys. 2017, 117 (2017). https://doi.org/10.1007/JHEP07(2017)117
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DOI: https://doi.org/10.1007/JHEP07(2017)117