Hidden supersymmetry of domain walls and cosmologies

TL;DR

This paper demonstrates that certain domain-wall and cosmological solutions in gravity theories admit special spinor structures, leading to simplified first-order equations and revealing hidden supersymmetry-like properties.

Contribution

It establishes a unified framework showing that all Minkowski or anti-de Sitter domain walls and flat or closed FLRW cosmologies satisfy first-order equations linked to superpotentials and pseudo-Killing spinors.

Findings

All relevant domain-wall solutions admit Killing spinors.

Cosmological solutions satisfy similar first-order equations.

The approach reveals hidden supersymmetry in these solutions.

Abstract

We show that all domain-wall solutions of gravity coupled to scalar fields for which the worldvolume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding first-order equations involving a superpotential determined by the solution. By analytic continuation, all flat or closed FLRW cosmologies are shown to satisfy similar first-order equations arising from the existence of ``pseudo-Killing'' spinors.