On Complexity of Jackiw-Teitelboim Gravity

Abstract

Using "complexity=action" proposal we compute complexity for Jackiw-Teitelboim gravity assuming that a UV cutoff enforces us to have a cut off behind the horizon. We find that the resultant complexity exhibits the late time linear growth. It is also consistent with the case where the corresponding Jackiw-Teitelboim gravity is obtained by dimensional reduction from higher dimensional gravities. To this work certain counter term on the cut off surface behind horizon is needed.

11 pages, one figure. V2: typos corrected, refs added

References in corpus (3)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Gravitational action with null boundaries
• Menagerie of AdS${}_2$ boundary conditions

Cited by in corpus (19)

• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Complexity for Charged Thermofield Double States
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• On the Role of Counterterms in Holographic Complexity
• Holographic complexity of local quench at finite temperature
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Complexity of Hyperscaling Violating Theories at Finite Cutoff
• Revisit on holographic complexity in two-dimensional gravity
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Krylov complexity of deformed conformal field theories
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Action complexity of charged black holes with higher derivative interactions
• Toward Krylov-based holography in double-scaled SYK
• Holographic complexity of hyperbolic black holes
• Encoded information of mixed correlations: the views from one dimension higher
• Generalized volume-complexity for Lovelock black holes
• Inverse anisotropic catalysis and complexity