# Entanglement entropy and Fisher information metric for closed bosonic strings in homogeneous plane wave background

## TL;DR

This paper derives the extended renormalized entanglement entropy and Fisher information metric for closed bosonic strings in a homogeneous plane wave background, using Thermo Field Dynamics, with applications to condensed matter models and dissipative systems.

## Contribution

It introduces a novel application of TFD to compute entanglement entropy and Fisher information for string theory in specific backgrounds, extending previous methods.

## Key findings

- Derived explicit formulas for EREE and Fisher metric in the string context
- Applied the formalism to condensed matter models and dissipative systems
- Demonstrated the utility of TFD in non-equilibrium and string theory scenarios

## Abstract

We derive the extended renormalized entanglement entropy (EREE) and the Fisher information metric in the case of closed bosonic strings in homogeneous plane wave background. Our investigations are conducted within the framework of Thermo Field Dynamics (TFD). The formalism is also illustrated on the example of some particular models in condensed matter physics and the non-equilibrium case for system with dissipations.