Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles (Q2330847)

Special Riemannian holonomies are characterized by the existence of parallel twisted pure spinor fields. Clifford monopole equations are considered as a geometric generalization of the Seiberg-Witten equations. It is shown that the Clifford monopole equations restrict to the Seiberg-Witten equations on 4-dimensional manifolds. Some problems about non-trivial solutions of the Clifford monopole equations on manifolds with special Riemannian holonomy are studied.