7 problems

An $N=2$ super-Riemann surface with genus-zero compact body is an $N=2$ super-Riemann surface whose underlying compact body has genus zero. The $N=2$ super-Riemann sphere is denote…

Let $V$ be a vector space of dimension at least $r$ containing $r$ pairs of points $p_{ij}$, with $i=1,\dots,r$ and $j\in\{+1,-1\}$, that span $V$. For a section, choose one point…

Let $(\mathcal{U}, \vartheta)$ be an algebraic deformation of a super Riemann surface $S(C, T^*_{C, -})$ over $\mathbb{A}^{0|n}_\mathbb{C}$. Its primary obstruction…

Consider the volumes of moduli spaces of bordered super-Riemann surfaces, with the sum taken equally over even and odd spin structures. JT supergravity prediction. The conjectured…

Super-harmonic mapping functional conjecture. The functional of super harmonic mappings … and the moduli space of Riemann surfaces.

A super Riemann surface $M$ is a complex super manifold of complex dimension $1|1$. A metric $g$ and its super partner, the gravitino $chi$, are fields on the underlying two-dimens…

Embedding-family conjecture. Super symmetry corresponds to a family of embeddings