Dirac-Harmonic Maps
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We introduce a functional that couples the nonlinear sigma model with a spinor field: . In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-harmonic maps. We study some geometric and analytic aspects of such maps, in particular a removable singularity theorem.
Cite
@article{arxiv.math/0411402,
title = {Dirac-Harmonic Maps},
author = {Qun Chen and Juergen Jost and Jiayu Li and Guofang Wang},
journal= {arXiv preprint arXiv:math/0411402},
year = {2007}
}