Abstract
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.
Highlights
Despite the role as the earliest discovered fundamental interaction, gravity still remains as a myth by its quantum nature
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
Entanglement entropy alone cannot capture all the quantum information on the boundary [3, 4], nor can bulk geometry be fully reconstructed from the entanglement entropy alone [5], there comes the need for complexity, which continues to growth even after reaching thermal equilibrium, similar to the growth of black hole interior
Summary
Despite the role as the earliest discovered fundamental interaction, gravity still remains as a myth by its quantum nature. We investigated the late-time growth rate for neutral and charged asymptotically AdS2 dilaton black hole solutions with single or multiple horizons in two dimensional (2D) gravity like Jackiw-Teitelboim (JT) gravity and JT-like gravity, by suing the CA and CV conjectures. For neutral black hole with multiple horizons, the late-time growth rate is found to be vanished if the conventional approach is naively adopted To resolve this puzzle, we make use of magnetic/electrical duality of 4D RN AdS black hole to restore the late-time linear growth of complexity, which can be regarded as a generalization of the method introduced in [91]. Ii) In the CV1.0 conjecture, the universal form of late-time growth rate is obtained for generic neutral and charged asymptotically AdS2 dilaton black hole solutions with single or multiple horizons. We evaluate the late-time growth rate of holographic complexity for neutral and charged eternal AdS2 black holes using the CA conjecture, which claims that the. All these cases mentioned above will be studied below for 2D AdS black holes beyond simple JT gravity
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
