Super volumes of the moduli space of super Riemann surfaces

Abstract: I will present the super volumes of the moduli space of super Riemann surfaces. They will be defined using a family of finite measures on the moduli space of genus $g$ curves. These measures are in turn given by a construction analogous to the classical construction of the Weil–Petersson metric, using the extra data of a spin structure. The total measure gives the volume of the moduli space of super curves and can be calculated via a deep relationship with the KdV equation.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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