Hartle-Hawking wavefunction in double scaled SYK

TL;DR

This paper calculates the Hartle-Hawking wavefunction within the double scaled SYK model and shows how certain correlators can be derived by combining these wavefunctions, linking quantum gravity and SYK models.

Contribution

It provides a novel computation of the Hartle-Hawking wavefunction in the double scaled SYK model and relates it to matter correlators through a gluing procedure.

Findings

Transition amplitude between specific states computed

Hartle-Hawking wavefunction interpreted in SYK context

Un-crossed matter correlators derived from wavefunctions

Abstract

We compute the transition amplitude between the chord number $0$ and $\ell$ states in the double scaled SYK model and interpret it as a Hartle-Hawking wavefunction of the bulk gravitational theory. We observe that the so-called un-crossed matter correlators of double scaled SYK model are obtained by gluing the Hartle-Hawking wavefunctions with an appropriate weight.