Dirac-harmonic maps from index theory
by Bernd Ammann and Nicolas Ginoux
Calc. Var. Part. Diff. Eq. 47 (2013), no. 3-4, 739-762
The original publication is available here.
Abstract: We prove existence results for Dirac-harmonic maps using index theoretical tools.
They are mainly interesting if the source manifold has dimension 1 or
2 modulo 8.
Our solutions are uncoupled in the sense that the underlying map between
the source and target manifolds is a harmonic map.
Some examples of Dirac-harmonic maps (replaces the former version Examples of Dirac-harmonic maps after Jost-Mo-Zhu)
Nicolas Ginoux, 1/10/2018