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On subregion action complexity in AdS₃ and in the BTZ black hole

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arxiv 1910.00526 v2 pith:IA4I7XQX submitted 2019-10-01 hep-th

On subregion action complexity in AdS₃ and in the BTZ black hole

classification hep-th
keywords complexitysubregionactiontermblackfiniteholeproportional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS$_3$, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.

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Cited by 3 Pith papers

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

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    Introduces tripartite complexity and complexity gap for three-region subsystems and reports that the gap has a definite sign in holographic volume complexity, Fisher-Rao Gaussian complexity, and Krylov-space approaches.

  2. Complexity Inequalities for Quantum Subsystems

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    Defines tripartite complexity and complexity gap for three-subsystem states and reports that the gap has definite sign across holographic CV, Fisher-Rao, and Krylov measures, suggesting it as a building block for comp...

  3. 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.