# Super McShane identity

## TL;DR

This paper extends McShane identities to super tori, developing supergeometry and analyzing the asymptotic growth of length spectra in the context of super Teichmüller theory.

## Contribution

It introduces a McShane identity for once-punctured super tori and advances the understanding of supergeometry and length spectrum growth in super Teichmüller theory.

## Key findings

- Derived a McShane identity for super tori
- Developed supergeometry of these surfaces
- Established asymptotic growth rate of length spectra

## Abstract

The authors derive a McShane identity for once-punctured super tori. Relying upon earlier work on super Teichm\"uller theory by the last two-named authors, they further develop the supergeometry of these surfaces and establish asymptotic growth rate of their length spectra.