Killing Spinors and Supersymmetric AdS Orbifolds

TL;DR

This paper investigates how Killing spinors behave under discrete symmetries in AdS5, leading to the discovery of new supersymmetric orbifolds that break certain spacetime symmetries, with implications for the structure of supersymmetric spaces.

Contribution

It identifies new supersymmetric orbifolds of AdS5 by analyzing Killing spinors under discrete symmetries, expanding the known classification of such spaces.

Findings

Discovered new supersymmetric orbifolds of AdS5.

Reproduced known orbifolds and added novel ones.

Analyzed symmetry breaking patterns in these orbifolds.

Abstract

We examine the behaviour of Killing spinors on AdS5 under various discrete symmetries of the spacetime. In this way we discover a number of supersymmetric orbifolds, reproducing the known ones and adding a few novel ones to the list. These orbifolds break the SO(4,2) invariance of AdS5 down to subgroups. We also make some comments on the non-compact Stiefel manifold W{4,2}.