A note on the non-planar corrections for the Page curve in the PSSY model via the IOP matrix model correspondence

TL;DR

This paper establishes a correspondence between the PSSY and IOP matrix models to resum non-planar corrections in the Page curve, enhancing understanding of entanglement entropy in quantum gravity models.

Contribution

It introduces a novel correspondence between the PSSY and IOP matrix models, enabling resummation of non-planar diagrams affecting the Page curve.

Findings

Resummation of crossing non-planar diagrams in the PSSY model.

Comparison of model predictions with Page's entanglement entropy formula.

Analysis of extra-handle-in-bulk diagram contributions.

Abstract

We develop a correspondence between the PSSY model and the IOP matrix model by comparing their Schwinger-Dyson equations, Feynman diagrams, and parameters. Applying this correspondence, we resum specific non-planar diagrams involving crossing in the PSSY model by using a non-planar analysis of a two-point function in the IOP matrix model. We also compare them with Page's formula on entanglement entropy and discuss the contributions of extra-handle-in-bulk diagrams.