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arXiv · 2603.21099

Higher spin Killing spinors on 3-dimensional manifolds

Yasushi Homma·Natsuki Imada·Soma Ohno
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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.

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Yasushi Homma, Natsuki Imada, Soma Ohno. 2026-03-22. Higher spin Killing spinors on 3-dimensional manifolds. https://arxiv.org/abs/2603.21099

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