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arXiv · 2603.21677

The Carrollian Superplane and Supersymmetry

Andrew James Bruce
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Abstract

This note provides an intrinsic construction of the Carrollian superplane $\Pi \mathbb{S}\simeq \mathbb{R}^{2|4}$ as a supermanifold generalisation of the Carrollian plane. Moving away from the $c\rightarrow 0$ limit of relativistic spinors, we define Carroll spinors as sections of a degenerate Clifford module. We show that the Carrollian superplane is a principal $\mathbb{R}^{1|2}$-bundle. Once clock forms and a complementary basic one-form are specified, there is a pair of odd vector fields that generate novel $N =2$ Carrollian supersymmetry transformations, not all of which come from an In\"on\"u--Wigner contraction of a Poincar\'e superalgebra

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Andrew James Bruce. 2026-03-23. The Carrollian Superplane and Supersymmetry. https://arxiv.org/abs/2603.21677

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