From Wave Geometry to Fake Supergravity

TL;DR

This paper explores the connections between wave geometry, fake supergravity, and supersymmetry, highlighting new interpretations and extending the domain-wall/cosmology correspondence to include instantons and Euclidean supersymmetry.

Contribution

It introduces an extension of the domain-wall/cosmology correspondence to a triple correspondence involving instantons and Euclidean supersymmetry, providing new insights into fake supergravity.

Findings

Wave geometry equation links to fake supergravity.

Extension of domain-wall/cosmology correspondence to include instantons.

Pseudo-supersymmetry interpreted as Euclidean supersymmetry.

Abstract

The `Wave Geometry' equation of the pre-WWII Hiroshima program is also the key equation of the current `fake supergravity' program. I review the status of (fake) supersymmetric domain walls and (fake) pseudo-supersymmetric cosmologies. An extension of the domain-wall/cosmology correspondence to a triple correspondence with instantons shows that `pseudo-supersymmetry' has another interpretation as Euclidean supersymmetry.