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

arXiv
Authors: Norihiro Iizuka, Mitsuhiro Nishida

Year

2024

Paper ID

38430

Status

Preprint

Abstract Read

~2 min

Abstract Words

67

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We develop a correspondence between the PSSY model and the IOP matrix model by comparing their Schwinger-Dyson equations, Feynman diagrams, and parameters.

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