On Complexity Growth in Minimal Massive 3D Gravity

TL;DR

This paper investigates the growth of computational complexity in the Minimal Massive 3D Gravity model using the CA proposal, revealing that the complexity rate saturates a bound related to the black hole's physical mass under specific conditions.

Contribution

It applies the complexity=action proposal to MMG, demonstrating how complexity growth relates to black hole parameters and resolving issues present in TMG.

Findings

Complexity growth rate saturates the bound set by the black hole's physical mass.

The saturation occurs when angular momentum and inner horizon parameters approach zero.

The study connects complexity growth with the physical properties of BTZ black holes in MMG.

Abstract

We study the complexity growth by using complexity = action (CA) proposal in Minimal Massive 3D Gravity(MMG) model which is proposed for resolving the bulk-boundary clash problem of Topologically Massive Gravity(TMG). We observe that the rate of the complexity growth for BTZ black hole saturates the proposed bound by physical mass of the BTZ black hole in the MMG model, when the angular momentum parameter and the inner horizon of black hole goes to zero.