Rarita-Schwinger fields on nearly parallel \(\operatorname{G}_2\)-manifolds

DOI10.1016/j.geomphys.2023.105024OpenAlexW4387747417MaRDI QIDQ6141343

Soma Ohno

Publication date: 4 January 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.105024

zbMATH Keywords

Killing spinorRarita-Schwinger fieldsnearly parallel \({G}_2\)-manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Deformations of general structures on manifolds (58H15) Spin and Spin({}^c) geometry (53C27) (G)-structures (53C10) Conformal structures on manifolds (53C18)

Cites Work

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• Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds
• Metrics with exceptional holonomy
• Spin and scalar curvature in the presence of a fundamental group. I
• Parallel spinors and parallel forms
• On nearly parallel \(G_2\)-structures
• The standard Laplace operator
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Deformations of nearly parallel \(G_2\)-structures
• Manifolds with many Rarita-Schwinger fields
• Boundary value problems for general first-order elliptic differential operators
• The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds
• Infinitesimal Einstein deformations of nearly Kähler metrics
• Notes on the octonions
• On a Theory of Particles with Half-Integral Spin
• Spectra of the Rarita-Schwinger operator on some symmetric spaces
• Instability of some Riemannian manifolds with real Killing spinors

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