Non-compact manifolds with Killing spinors
C. Rugina, A. Ludu
TL;DR
This paper explores the relationship between massless Killing spinors and harmonic, closed conformal Killing-Yano tensors on non-compact manifolds with invertible Dirac operators, providing theoretical insights and examples.
Contribution
It establishes a link between Killing spinors and conformal Killing-Yano tensors on non-compact manifolds, expanding understanding of geometric structures in differential geometry.
Findings
Identifies conditions for the existence of massless Killing spinors
Links Killing spinors to harmonic conformal Killing-Yano tensors
Provides examples illustrating the theoretical results
Abstract
We present a result for non-compact manifolds with invertible Dirac operator, where we link the presence of a massless Killing spinor, with a harmonic, closed conformal Killing-Yano tensor, if one exists for the specic manifold. A couple of examples are introduced.
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