# Complexity and typical microstates

## TL;DR

This paper explores the application of holographic complexity conjectures to typical black hole microstates in AdS/CFT, revealing divergences that align with theoretical expectations for these states.

## Contribution

It analyzes the divergence of holographic complexity in typical microstates, providing insights into their geometric duals and the nature of their complexity.

## Key findings

- Holographic complexity diverges for typical microstates.
- Classical divergence aligns with theoretical expectations.
- Insights into the geometry of black hole microstates.

## Abstract

Typical black hole microstates in AdS/CFT were recently conjectured to have a geometrical dual with a smooth horizon and a portion of a second asymptotic region. I consider the application of the holographic complexity conjectures to this geometry. The holographic calculation leads to divergent values for the complexity; I argue that this classical divergence is consistent with expectations for typical microstates.