Higher spin Killing spinors on 3-dimensional manifolds
Differential Geometry
2026-03-24 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We define higher spin Killing spinors on Riemannian spin manifolds in arbitrary dimension and study them in detail in dimension three. We prove a rigidity result for 3-dimensional manifolds admitting higher spin Killing spinors and give expressions for higher spin Killing spinors on the 3-sphere and the 3-hyperbolic space explicitly. We also investigate the Killing spinor type equation on integral spin bundles.
Keywords
Cite
@article{arxiv.2603.21099,
title = {Higher spin Killing spinors on 3-dimensional manifolds},
author = {Yasushi Homma and Natsuki Imada and Soma Ohno},
journal= {arXiv preprint arXiv:2603.21099},
year = {2026}
}
Comments
29 pages