Holographic complexity in general quadratic curvature theory of gravity

TL;DR

This paper investigates holographic complexity in quadratic curvature gravity, analyzing action growth rates at late times, the saturation of Lloyd's bound, and universal divergent terms in the complexity calculation.

Contribution

It extends the study of holographic complexity to quadratic curvature theories, revealing conditions for Lloyd's bound saturation and universal divergence terms.

Findings

Lloyd's bound saturates for charged and neutral black holes.

A second singular point can alter the action growth rate.

Universal divergent terms are identified in the complexity calculation.

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.