Discrete analogue of the Weil-Petersson volume in double scaled SYK
Kazumi Okuyama
Abstract
A bstract 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.
Topics & Concepts
PhysicsLimit (mathematics)Volume (thermodynamics)SykMathematical physicsPartition (number theory)Pure mathematicsMathematical analysisMathematicsCombinatoricsThermodynamicsTyrosine kinaseBiochemistryChemistrySignal transductionStochastic processes and statistical mechanicsRandom Matrices and ApplicationsTheoretical and Computational Physics