Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
83/2004

Dirac-Harmonic Maps

Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang

Abstract

We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|d\phi|^2+(\psi,D\psi)]$. 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.

Received:
18.11.2004
Published:
18.11.2004

Related publications

inJournal
2006 Repository Open Access
Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang

Dirac-harmonic maps

In: Mathematische Zeitschrift, 254 (2006) 2, pp. 409-432