English

A Twisted Origin for Magnetic Carroll Supersymmetry

High Energy Physics - Theory 2026-04-07 v2 General Relativity and Quantum Cosmology

Abstract

Magnetic Carrollian theories provide a natural setting for field theories with nontrivial spatial structure in the Carroll limit and are therefore natural candidates for flat-space holographic duals. Embedding such boundary theories into a top-down framework requires a consistent supersymmetric completion and, in particular, an understanding of the relativistic origin of magnetic Carroll supersymmetry. We show that the relevant magnetic Carroll algebra does not arise from a naive contraction of the standard relativistic supersymmetry algebra, but instead descends from a twisted relativistic parent. As an explicit realization, we construct a three-dimensional N=2{\mathcal{N}}=2 magnetic Carroll algebra together with a supersymmetric vector-multiplet action. Unlike the electric case, the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge. We further show that its conformal extension coincides with the global part of a supersymmetric BMS4_4 algebra. This provides a physical and relativistic origin for a super-BMS4_4 structure recently identified by complementary algebraic methods, and strengthens the case for magnetic Carroll theories in flat-space holography and supersymmetric asymptotic symmetries.

Keywords

Cite

@article{arxiv.2603.28269,
  title  = {A Twisted Origin for Magnetic Carroll Supersymmetry},
  author = {Ilayda Bulunur and Osman Ergec and Oguzhan Kasikci and Mehmet Ozkan and Mustafa Salih Zog},
  journal= {arXiv preprint arXiv:2603.28269},
  year   = {2026}
}

Comments

v2, 7 pages, References added