# Interface in AdS black hole spacetime

## TL;DR

This paper explores a defect interface in AdS5 x S5 black hole spacetime, generalizing previous models, and investigates its effects on complexity, action, and string dynamics, including numerical solutions and potential calculations.

## Contribution

It introduces a new defect solution in AdS5 x S5 black hole spacetime, extending previous work and analyzing its impact on complexity, action, and string interactions.

## Key findings

- Derived the equation of motion for the interface
- Numerically solved the interface configuration
- Analyzed the quark-interface potential in the black hole background

## Abstract

We consider a defect solution in the AdS5 x S5 spacetime. This is the generalization of the previous work [arXiv:1109.1927] to the other spacetime. This also gives the generalization of Complexity and Action relation [arXiv:1705.08424] including the flux. The equation of motion for an interface is given and its solution is shown by the numerical calculation. We also consider the Nambu-Goto action of the string affected by this interface. This corresponds the quark-interface potential in the black hole spacetime.