5 papers
From double-scaled SYK correlators to Weil-Petersson volumes
Norman Do, Paul Norbury
Okuyama introduced a family of polynomials, whose coefficients depend on a parameter , in his study of correlators in the double-scaled SYK model. He verified in small cases tha…
A q-analogue of Mirzakhani's recursion for Weil-Petersson volumes
Norman Do, Paul Norbury
We define q-analogues of Mirzakhani's recursion for Weil-Petersson volumes and the Stanford-Witten recursion for super Weil-Petersson volumes. Okuyama recently introduced a q-defor…
Combinatorics and large genus asymptotics of the Brézin--Gross--Witten numbers
Jindong Guo, Paul Norbury, Di Yang +1
In this paper, we study combinatorial and asymptotic properties of some interesting rational numbers called the Brézin--Gross--Witten (BGW) numbers, which can be represented as th…
Super volumes and KdV tau functions
Alexander Alexandrov, Paul Norbury
Weil-Petersson volumes of the moduli space of curves are deeply related to the Kontsevich-Witten KdV tau function. They possess a Virasoro symmetry which comes out of recursion rel…
Super Weil-Petersson measures on the moduli space of curves
Paul Norbury
The super Weil-Petersson metric defined over the moduli space of smooth super curves produces a natural measure over the moduli space of smooth curves. The construction of the meas…