Breaking supersymmetry with pure spinors

TL;DR

This paper presents a method to modify the equations governing supersymmetric vacua, breaking supersymmetry while maintaining solutions to the equations of motion, with concrete examples illustrating the approach.

Contribution

It introduces a systematic way to deform pure spinor equations to break supersymmetry without losing solutions to the equations of motion.

Findings

Generalized Imamura class of Mink6 solutions

Derived local and global solutions before and after supersymmetry breaking

Established a geometric interpretation of supersymmetry-breaking deformations

Abstract

For several classes of BPS vacua, we find a procedure to modify the PDEs that imply preserved supersymmetry and the equations of motion so that they still imply the latter but not the former. In each case we trace back this supersymmetry-breaking deformation to a distinct modification of the pure spinor equations that provide a geometrical interpretation of supersymmetry. We give some concrete examples: first we generalize the Imamura class of Mink6 solutions by removing a symmetry requirement, and then derive some local and global solutions both before and after breaking supersymmetry.