# Interface in Kerr-AdS black hole spacetime

## TL;DR

This paper presents a new defect solution in Kerr-AdS black hole spacetime, explores the equation of motion for an interface operator, and provides numerical results that contribute to understanding holographic complexity in black holes.

## Contribution

It generalizes previous defect solutions to Kerr-AdS spacetime and offers numerical analysis of interface equations, advancing holographic complexity studies.

## Key findings

- Numerical solutions for interface equations in Kerr-AdS spacetime.
- New example of holographic relation of complexity.
- Insights into black hole complexity problems.

## Abstract

A defect solution in the AdS5 x S5 black hole spacetime is given. This is a generalization of the previous work to another spacetime. The equation of motion for a sort of non-local operator, "an interface," is given and its numerical solution is shown. This result gives a new example of holographic relation of complexity and will be a clue for solving problems about black hole complexity.