$\mathcal{H}$-Killing Spinors and Spinorial Duality for Homogeneous 3-$(\alpha ,\delta )$-Sasaki Manifolds

Ilka Agricola, Jordan Hofmann

We show that $3$-$(\alpha ,\delta )$-Sasaki manifolds admit solutions of a certain new spinorial field equation (the $\mathcal{H}$-Killing equation) generalizing the well-known Killing spinors…