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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…
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…
Weil-Petersson volumes, stability conditions and wall-crossing
Lukas Anagnostou, Scott Mullane, Paul Norbury
In this paper we study Weil-Petersson volumes of the moduli spaces of conical hyperbolic surfaces. The moduli spaces are parametrised by their cone angles which naturally live insi…