Action complexity of charged black holes with higher derivative interactions

TL;DR

This paper investigates how higher derivative interactions in charged black holes influence the late-time growth of holographic complexity, revealing violations of Lloyd's and KSS bounds in the dual CFT.

Contribution

It analyzes the impact of quartic derivative terms on complexity growth and bound violations in five-dimensional charged AdS black holes and JT models.

Findings

Higher derivative terms can violate Lloyd's bound.

Complexity growth rate is affected by quartic interactions.

Dual CFT exhibits bound violations due to bulk higher derivatives.

Abstract

Quantum complexity of CFT states can be computed holographically from the dual gravitational solutions. In this paper, we have studied the late time growth of holographic complexity of a charged black hole in five-dimensional, Anti-de Sitter spacetime in the presence of quartic derivative interaction terms using the Complexity = Action conjecture. These interaction terms in the gravitational action can lead to the violation of Llyod's bound. The dual CFT is known to admit a hydrodynamic description where the KSS bound is also violated due to the presence of higher derivative terms in the bulk action. The origin of terms which violate both the bounds are the same for the gravitational action of consideration. We have also discussed the late time complexity growth rate of the Jackiw-Teitelboim (JT) model with higher derivative corrections.