Algebraic spin structures

Benn, Ian and Dolan, B. P. and Tucker, Robin (1985) Algebraic spin structures. Physics Letters B, 150 (1-3). pp. 100-102. ISSN 0370-2693

Abstract

We demonstrate that the existence of an algebraic spin structure (a globally defined primitive idempotent in the Clifford bundle of a manifold) is sufficient to describe algebraic spinors globally even when the manifold is not endowed with a spinor structure. The modified Kähler equation can then be used to provide a global dynamical framework for such spinors.