Hypersurface homogeneous Killing spinor space-times

TL;DR

This paper classifies hypersurface homogeneous space-times with non-null valence two Killing spinors, introducing a new class with exceptional Killing tensors and relating it to symmetric space-time classifications.

Contribution

It provides a complete classification of such space-times and identifies a novel class with unique Killing tensors, linking to known symmetric space-time types.

Findings

Complete list of hypersurface homogeneous space-times with Killing spinors.

Introduction of a new class with exceptional Killing tensors.

Connection established with symmetric space-time classifications.

Abstract

I present a complete list of hypersurface homogeneous space-times admitting a non-null valence two Killing spinor, including a new class admitting only exceptional Killing tensors. A connection is established with the classification of locally rotationally symmetric or boost symmetric space-times.