Abstract
In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd’s bound saturates for charged and neutral black hole solutions. We observe that a second singular point may modify the action growth rate to a value other than the Lloyd’s bound. Moreover, we find the universal terms that appear in the divergent part of complexity from computing the bulk and joint terms on a regulated WDW patch.
Highlights
By combining the basic ideas of quantum information theory (QIT) and AdS/CFT duality, a significant development in the area of black hole physics has occurred and we have witnessed the appearance of new paradigms in our quest to understand the quantum theory of gravity
The higher order curvature theories of gravity usually have two important roles. Either they show the existence of a certain property that holds for all holographic dual CFTs, for instance, the holographic c-theorems or holographic entanglement entropy, or in opposite direction, they provide counterexamples, for example in the known Kovtun– Son–Starinets bound for the shear viscosity over entropy density ratio, where the bound is violated in the presence of certain higher curvature terms
Following [11,17] we are going to compute the action growth rate on a WDW patch associated with a two-sided black hole in general quadratic curvature (GQC) theory of gravity, see Fig. (1)
Summary
By combining the basic ideas of quantum information theory (QIT) and AdS/CFT duality, a significant development in the area of black hole physics has occurred and we have witnessed the appearance of new paradigms in our quest to understand the quantum theory of gravity. To study a broader spectrum of CFTs, one can consider higher curvature theories of gravity in the bulk This enables us to explore other universality classes as well because as it is observed in these theories there are various types of degrees of freedom in addition to the Einstein modes. Either they show the existence of a certain property that holds for all holographic dual CFTs, for instance, the holographic c-theorems or holographic entanglement entropy, or in opposite direction, they provide counterexamples, for example in the known Kovtun– Son–Starinets bound for the shear viscosity over entropy density ratio, where the bound is violated in the presence of certain higher curvature terms These properties motivate us to study the holographic complexity in both directions in this paper. Page 3 of 12 920 general quadratic curvature (GQC) theory of gravity in this paper and compute the action growth rate in this theory Another related subject is the structure of UV divergences of the complexity.
Sign-in/Register to view highlights & summary 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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
