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Complex Generalized Killing Spinors on Riemannian Spinc Manifolds

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Abstract

In this paper, we extend the study of generalized Killing spinors on Riemannian Spinc manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are always real spinc Killing spinors or imaginary generalized Spinc Killing spinors, providing that the dimension of the manifold is greater or equal to 4. Moreover, we examine which Riemannian Spinc manifolds admit imaginary and imaginary generalized Killing spinors.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Leipzig, 04009, Leipzig, Germany

    Nadine Große

  2. Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Notre Dame University-Louaize, P.O. Box 72, Zouk Mikael, Zouk Mosbeh, Lebanon

    Roger Nakad

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  1. Nadine Große
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  2. Roger Nakad
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Correspondence to Roger Nakad.

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Große, N., Nakad, R. Complex Generalized Killing Spinors on Riemannian Spinc Manifolds. Results. Math. 67, 177–195 (2015). https://doi.org/10.1007/s00025-014-0401-7

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