# How Space-Times Emerge from the Superpoint

## TL;DR

This paper explains how super Minkowski space-times, essential to string and M-theory, can be derived from the superpoint using higher structures and rational homotopy theory, revealing a foundational emergence process.

## Contribution

It introduces a novel framework for deriving super Minkowski space-times from the superpoint through central extensions within higher structures.

## Key findings

- Super Minkowski space-times emerge from the superpoint via central extensions.
- The approach uses rational homotopy theory and higher structures.
- Connections are made to the brane bouquet and string/membrane theories.

## Abstract

We describe how the super Minkowski space-times relevant to string theory and M-theory, complete with their Lorentz metrics and spin structures, emerge from a much more elementary object: the superpoint. In the sense of higher structures, this comes from treating the superpoint as an object in a flavor of rational homotopy theory, and repeatedly constructing central extensions. We will fit this story into the larger picture of the brane bouquet of Fiorenza-Sati-Schreiber: string theories and membrane theories emerge from super Minkowski space-times in precisely the same way as the super Minkowski space-times themselves emerge from the superpoint. This note is adapted from a talk I gave at the Durham symposium Higher Structures in M-Theory.