Non-compact manifolds with Killing spinors

JOURNAL OF GEOMETRY AND PHYSICS

卷:151

Article

Rugina, C.^1,2  Ludu, A.³ 

[1] IFIN HH, Dept Theoret Phys, Magurele, Romania

[2] Univ Bucharest, Dept Phys, Bucharest, Romania

[3] Embry Riddle Aeronaut Univ, Dept Math, Daytona Beach, FL 32114 USA

关键词: Conformal Killing-Yano tensor;    Killing spinor;    Hidden symmetries;    Non-compact manifold;    Invertible Dirac operator;   

DOI  :  10.1016/j.geomphys.2020.103641

来源: Elsevier

【 摘 要 】

We present here a quick 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 specific manifold. A couple of examples are introduced. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free