4 papers
Killing (super)algebras for generalised spin manifolds
Andrew D. K. Beckett
We define the notion of a Killing (super)algebra for a connection on a spinor bundle associated to a generalised spin structure on a pseudo-Riemannian manifold of any signature. We…
Notes on generalised spin structures
Andrew D. K. Beckett
We review some definitions and basic notions relating to generalised spin structures and introduce the notion of reducibility. We discuss connections on these structures, define a…
Killing Superalgebras in 2 Dimensions
Andrew D. K. Beckett
We provide some examples of Killing superalgebras on 2-dimensional pseudo-Riemannian manifolds within the theoretical framework established in [SIGMA 21 (2025), 081, 61 pages, arXi…
Killing (Super)Algebras Associated to Connections on Spinors
Andrew D. K. Beckett
We generalise the notion of a Killing superalgebra, which arises in the physics literature on supergravity, to general dimension, signature and choice of spinor module and Dirac cu…