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A note on real Killing spinors in Weyl geometry

✍ Scribed by Volker Buchholz

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 47 KB
Volume: 35
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(00)00014-0

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✦ Synopsis

This note is dedicated to the real Killing equation on three-dimensional Weyl manifolds. Any manifold admitting a real Killing spinor of weight 0 satisfies the conditions of a Gauduchon-Tod geometry. Conversely, any simply connected Gauduchon-Tod geometry has a two-dimensional space of solutions of the real Killing equation on the spinor bundle of weight 0.

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