[en] We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume.
Disciplines :
Mathématiques
Auteur, co-auteur :
BRUCE, Andrew ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Modular Classes of Q-Manifolds, Part II: Riemannian Structures & Odd Killing Vectors Fields
