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
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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.