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Holographic Complexity of Quantum Black Holes

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arxiv 2112.04860 v3 pith:2WERMJV3 submitted 2021-12-09 hep-th gr-qc

Holographic Complexity of Quantum Black Holes

Roberto Emparan , Antonia Micol Frassino , Martin Sasieta , Marija Toma\v{s}evi\'c This is my paper
classification hep-th gr-qc
keywords complexityquantumblackfieldsholographicholeactionbackreaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyze different holographic complexity proposals for black holes that include corrections from bulk quantum fields. The specific setup is the quantum BTZ black hole, which encompasses in an exact manner the effects of conformal fields with large central charge in the presence of the black hole, including the backreaction corrections to the BTZ metric. Our results show that Volume Complexity admits a consistent quantum expansion and correctly reproduces known limits. On the other hand, the generalized Action Complexity picks up large contributions from the singularity, which is modified due to quantum backreaction, with the result that Action Complexity does not reproduce the expected classical limit. Furthermore, we show that the doubly-holographic setup allows computing the complexity coming purely from quantum fields - a notion that has proven evasive in usual holographic setups. We find that in holographic induced-gravity scenarios the complexity of quantum fields in a black hole background vanishes to leading order in the gravitational strength of CFT effects.

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Cited by 3 Pith papers

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

  1. Holographic complexity of de-Sitter black holes

    hep-th 2026-06 unverdicted novelty 5.0

    In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.

  2. A Timelike Quantum Focusing Conjecture

    hep-th 2026-04 unverdicted novelty 5.0

    A timelike quantum focusing conjecture implies a complexity-based quantum strong energy condition and a complexity bound analogous to the covariant entropy bound for suitable codimension-0 field theory complexity measures.

  3. Quantum corrected black hole microstates and entropy

    hep-th 2025-09 unverdicted novelty 5.0

    In a doubly holographic black hole model, the dimension of the microstate Hilbert space equals the sum of the quantum-corrected thermodynamic entropies of the left and right black holes, which equals the generalised e...