Killing (Super)Algebras Associated to Connections on Spinors

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Beckett, Andrew D.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214204
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Killing (Super)Algebras Associated to Connections on Spinors. Andrew D.K. Beckett. SIGMA 21 (2025), 081, 61 pages

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 current. We also allow for Lie algebras as well as superalgebras, capturing a set of examples previously defined using ge...