Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld

Abstract

Recently, it has been argued in [1] that Jackiw-Teitelboim (JT) gravity can be naturally realized in the Karch-Randall braneworld in $(2+1)$ dimensions. Using the `complexity=volume' proposal, we studied this model and computed the holographic complexity of the JT gravity from the bulk perspective. We find that the complexity grows linearly with boundary time at late times, and the leading order contribution is proportional to the ${\phi }_0$, similar to the answer found in [2]. However, in addition, we find subleading corrections to the complexity solely arising from the fluctuations of these Karch-Randall branes.

arXiv comment20 pages, 3 figures, v2: references added, minor changes, accepted for publication in JHEP

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• Toward Krylov-based holography in double-scaled SYK
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Generalized holographic complexity of rotating black holes
• The landscape of complexity measures in 2D gravity
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography