Holographic entropy bound in two-dimensional gravity

TL;DR

This paper explores Bousso's holographic entropy bound within two-dimensional gravity, demonstrating that Weyl anomaly influences the energy-momentum tensor and supports a similar entropy bound in 2D, linking to prior work by Strominger and Thompson.

Contribution

It shows that Weyl anomaly causes non-zero null energy-momentum, enabling a holographic entropy bound in two-dimensional gravity, extending Bousso's bound to 2D.

Findings

Weyl anomaly affects the null energy-momentum tensor in 2D gravity.

A holographic entropy bound similar to Bousso's is supported in 2D.

Connection established with Strominger and Thompson's results.

Abstract

Bousso's entropy bound for two-dimensional gravity is investigated in the lightcone gauge. It is shown that due to the Weyl anomaly, the null component of the energy-momentum tensor takes a nonvanishing value, and thus, combined with the conditions that were recently proposed by Bousso, Flanagan and Marolf, a holographic entropy bound similar to Bousso's is expected to hold in two dimensions. A connection of our result to that of Strominger and Thompson is also discussed.