Hartle-Hawking wavefunction in double scaled SYK

Abstract

We compute the transition amplitude between the chord number 0 and 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.

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