Superspace Duality in Low-Energy Superstrings

TL;DR

This paper extends spacetime duality concepts to superspace in superstring theory, incorporating fermions and curved geometries, highlighting fundamental geometric conditions like the vanishing of the d'Alembertian.

Contribution

It introduces a superspace duality framework with an enlarged coordinate space, unifying geometric conditions in low-energy superstring limits.

Findings

Superspace duality extends spacetime duality to include fermions.

The geometry is based on an extended, curved superspace.

Fundamental conditions include the vanishing of the d'Alembertian and curl of a gradient.

Abstract

We extend spacetime duality to superspace, including fermions in the low-energy limits of superstrings. The tangent space is a curved, extended superspace. The geometry is based on an enlarged coordinate space where the vanishing of the d'Alembertian is as fundamental as the vanishing of the curl of a gradient.