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Entanglement Entropy of Extremal BTZ

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arxiv 1309.7852 v2 pith:ERJOV7NX submitted 2013-09-30 hep-th

classification hep-th
keywords entanglemententropyextremalboundarycftsuniversalagreementanalyze
verification ladder T0 review T1 audit T2 compute T3 formal

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In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and the boundary of the near-horizon limit of the extremal BTZ are in perfect agreement and have the form appropriate to a two-dimensional CFT with only the chiral part excited and the anti-chiral in the ground state. Furthermore, we analyze the universal limits of the entanglement entropy and recover the correct value of the thermal entropy for large entangling intervals and the first-law like relation for the small interval.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Timelike entanglement entropy with gravitational anomalies

    hep-th 2025-04 conditional novelty 6.0 of 10

    In CFTs with gravitational anomalies, the imaginary part of timelike entanglement entropy depends only on the right-moving central charge, a chiral asymmetry that may serve as an anomaly detector.

  2. The holographic $\textrm{T}\overline{\textrm{T}}$ deformation of the CFT$_2$ with gravitational anomalies

    hep-th 2025-07 conditional novelty 5.0 of 10

    The TTbar deformation of an anomalous CFT2 has a working holographic model in topological massive gravity, with a universal deformed spectrum and matching entanglement observables.

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