de Sitter JT gravity from double-scaled SYK

TL;DR

This paper demonstrates that de Sitter JT gravity can be derived from the double-scaled SYK model by focusing on the upper edge of its spectrum, complementing the known connection to AdS JT gravity at the lower edge.

Contribution

It introduces a new scaling limit of DSSYK that reproduces de Sitter JT gravity, expanding the understanding of holographic dualities for different cosmological constants.

Findings

De Sitter JT gravity emerges from DSSYK at the upper spectral edge.

The classical solutions align with sine dilaton gravity behavior.

The work complements the known AdS JT gravity from the lower spectral edge.

Abstract

It is known that the double-scaled SYK model (DSSYK) reduces to JT gravity with a negative cosmological constant by zooming in on the lower edge $E=-E_0$ of the spectrum. We find that the de Sitter JT gravity (i.e. JT gravity with a positive cosmological constant) is reproduced from DSSYK by taking a scaling limit around the upper edge $E=E_0$ of the spectrum. We also argue that the appearance of de Sitter JT gravity is consistent with the behavior of the classical solution of the sine dilaton gravity.