Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence

TL;DR

This paper explores the correspondence between domain-wall and cosmological solutions in gravity theories, introducing the concept of pseudo-supersymmetry where pseudo-Killing spinors relate to cosmological models.

Contribution

It establishes a link between supersymmetric domain walls and pseudo-supersymmetric cosmologies through the pseudo-Killing spinor framework.

Findings

Domain-wall solutions with Killing spinors correspond to pseudo-supersymmetric cosmologies.

Pseudo-Killing spinors obey Dirac equations with anti-hermitian mass matrices.

Implications for (pseudo)supersymmetry in gravitational solutions are discussed.

Abstract

The correspondence between domain-wall and cosmological solutions of gravity coupled to scalar fields is explained. Any domain wall solution that admits a Killing spinor is shown to correspond to a cosmology that admits a pseudo-Killing spinor: whereas the Killing spinor obeys a Dirac-type equation with hermitian `mass'-matrix, the corresponding pseudo-Killing spinor obeys a Dirac-type equation with a anti-hermitian `mass'-matrix. We comment on some implications of (pseudo)supersymmetry.