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The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity

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arxiv 1810.08741 v1 pith:YQS3535F submitted 2018-10-20 hep-th gr-qc

The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity

Adam R. Brown , Hrant Gharibyan , Henry W. Lin , Leonard Susskind , Larus Thorlacius , Ying Zhao This is my paper
classification hep-th gr-qc
keywords complexityholographicrateactionblackboundarychargeddimensional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate of change of action of a Wheeler-DeWitt patch in the JT theory. Surprisingly, the rate vanishes. This is puzzling because it contradicts both holographic expectations for the rate of complexification and also action calculations for charged black holes. We trace the discrepancy to an improper treatment of boundary terms when naively doing the dimensional reduction. Once the boundary term is corrected, we find exact agreement with expectations. We comment on the general lessons that this might hold for holographic complexity and beyond.

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Cited by 4 Pith papers

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

  1. Holographic timelike complexity for de Sitter

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  3. Toward Krylov-based holography in double-scaled SYK

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    Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-ge...

  4. 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.