Bilayers in Four Dimensions and Supersymmetry

TL;DR

This paper constructs N=1 superstring models in four-dimensional space using purely geometric bosonic data, featuring a bilayer world-sheet with a natural vanishing supercharge.

Contribution

It introduces a novel geometric approach to formulating superstrings in four dimensions, emphasizing bilayer world-sheets and natural supersymmetry.

Findings

Successful construction of N=1 superstrings in R^4

Bilayer world-sheet with uniform thickness

Natural vanishing of the 2D supercharge

Abstract

I build $N=1$ superstrings in $\Bbb R^4$ out of purely geometric bosonic data. The world-sheet is a bilayer of uniform thickness and the $2D$ supercharge vanishes in a natural way.