Entropy bounds in two dimensions

TL;DR

This paper examines entropy bounds in two-dimensional gravity models, confirming the Bekenstein bound universally holds for weak matter, but showing the holographic bound varies with the model.

Contribution

It demonstrates the universality of the Bekenstein bound in 2D gravity and highlights the model-dependent nature of the holographic bound.

Findings

Bekenstein bound holds generally for weakly gravitating matter

Holographic bound is not universal and depends on the specific model

Entropy bounds vary with different two-dimensional gravity models

Abstract

We discuss entropy bounds for a class of two-dimensional gravity models. While the Bekenstein bound can be proved to hold in general for weakly gravitating matter, the analogous of the holographic bound is not universal, but depends on the specific model considered