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Calibrated Entanglement Entropy

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arxiv 1705.08319 v2 pith:UNQGPXVB submitted 2017-05-23 hep-th

I. Bakhmatov , N.S. Deger , J. Gutowski , E. Ó Colgáin , H. Yavartanoo This is my paper · ORCID
classification hep-th
keywords entanglemententropyminimalsurfacescalibratedanti-deapplicableblack
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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 AdS$_3$ geometries. We briefly discuss generalisations to higher dimensions.

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    Holographic entanglement is represented by geodesic threads whose fluxes equal half conditional mutual information, and kinematic space is treated as the input board of a quantum circuit that reproduces holographic co...

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