Work

Higher spin Killing spinors on 3-dimensional manifolds

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.21099

Authors: Homma, Yasushi, Imada, Natsuki, Ohno, Soma

Institution: Waseda University

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Waseda University, Japan Society for the Promotion of Science

Award: Spin Geometry and Clifford Analysis

OpenAlex ID: W7140173019

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