How are the degrees of freedom responsible for entropy in BTZ spacetime?

TL;DR

This paper investigates how the distribution of degrees of freedom near or far from the horizon influences entropy in BTZ spacetime, analyzing deviations from the area law through corrections and state dependence.

Contribution

It introduces a detailed analysis of the role of degrees of freedom in entropy variations, including corrections for excited states in BTZ spacetime.

Findings

Degrees of freedom near the horizon contribute to ground state entropy.

Degrees of freedom away from the horizon contribute to excited state entropy.

Logarithmic and power law corrections explain deviations from the area law.

Abstract

The entanglement entropy approach to study the dependence of entropy upon the location of degrees of freedom (dof) (near/far) from the horizon is discussed in this article. We try to understand the physical deviation of the area law for the excited states by incorporating the logarithmic and power law corrections. We show that the dof near the horizon gives contribution to the total entropy of the system in the ground state and away from the event horizon gives contribution to the excited state.