📝 SummarXiv

Abstract

Inspired by Carrollian geometry, we define super-Carrollian manifolds as a supermanifold with an even degenerate metric such that the kernel is generated by a non-singular odd vector field that is a supersymmetry generator. Alongside other results, we show that compatible affine connections always exist, albeit they must carry torsion. As a physically relevant example, we show how a super-Carrollian manifold can be constructed from standard superspace $\mathbb{R}^{4|4}$ via an In\"on\"u--Wigner contraction.