Some explicit constructions of Dirac-harmonic maps

Juergen Jost, Xiaohuan Mo, Miaomiao Zhu

Published 2009-08-24Version 1

We construct explicit examples of Dirac-harmonic maps $(\phi, \psi)$ between Riemannian manifolds $(M,g)$ and $(N,g')$ which are non-trivial in the sense that $\phi$ is not harmonic. When $\dim M=2$, we also produce examples where $\phi$ is harmonic, but not conformal, and $\psi$ is non-trivial.