

Preprint 83/2004
Dirac-Harmonic Maps
Qun Chen, Jürgen Jost, Jiayu Li, and Guofang Wang
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Submission date: 18. Nov. 2004
Pages: 22
published in: Mathematische Zeitschrift, 254 (2006) 2, p. 409-432
DOI number (of the published article): 10.1007/s00209-006-0961-7
Bibtex
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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.