1. Killing superalgebras in 2 dimensions
- Author
-
Beckett, Andrew D. K.
- Subjects
Mathematics - Differential Geometry ,High Energy Physics - Theory ,17B66 (Primary) 17B56 (Secondary) - Abstract
We provide some examples of Killing superalgebras on 2-dimensional pseudo-Riemannian manifolds within the theoretical framework established in arXiv:2409.11306. We compute the Spencer cohomology group $\mathsf{H}^{2,2}(\mathfrak{s}_-;\mathfrak{s})$ and filtered deformations of the non-chiral flat model (Euclidean and Poincar\'e) superalgebra $\mathfrak{s}$ for various squaring maps and show these arise as Killing superalgebras for (imaginary) geometric Killing and skew-Killing spinors in both Riemannian and Lorentzian signature., Comment: 18 pages, previously appeared in earlier form as part of the author's PhD thesis at https://era.ed.ac.uk/handle/1842/41754
- Published
- 2024