Some explicit constructions of Dirac-harmonic maps

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

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