  We show that the connected correlators of partition functions in double
scaled SYK model can be decomposed into ``trumpet'' and the discrete analogue
of the Weil-Petersson volume, which was defined by Norbury and Scott. We
explicitly compute this discrete volume for the first few orders in the genus
expansion and confirm that the discrete volume reduces to the Weil-Petersson
volume in a certain semi-classical limit.

High Energy Physics - Theory