4.4 Article

Revisit on holographic complexity in two-dimensional gravity

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP08(2020)102

Keywords

2D Gravity; AdS-CFT Correspondence; Black Holes; Gauge-gravity correspondence

Funding

  1. National Natural Science Foundation of China [11690022, 11821505, 11851302]
  2. Strategic Priority Re-search Program of CAS [XDB23010500, XDB23030100]
  3. Key Research Program of Frontier Sciences of CAS
  4. Jilin University
  5. Max Planck Partner group
  6. Tufts University from NSF

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We revisit the late-time growth rate of various holographic complexity conjectures for neutral and charged AdS black holes with single or multiple horizons in two dimensional (2D) gravity like Jackiw-Teitelboim (JT) gravity and JT-like gravity. For complexity-action conjecture, we propose an alternative resolution to the vanishing growth rate at late-time for general 2D neutral black hole with multiple horizons as found in the previous studies for JT gravity. For complexity-volume conjectures, we obtain the generic forms of late-time growth rates in the context of extremal volume and Wheeler-DeWitt volume by appropriately accounting for the black hole thermodynamics in 2D gravity.

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