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Dirac-harmonic maps

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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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072

    Qun Chen

  2. School of Mathematics and Statistics, COCDM, Central China Normal University, Wuhan, 430079, China

    Qun Chen

  3. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, D-04103, Leipzig, Germany

    Jürgen Jost & Guofang Wang

  4. Institute of Mathematics, Chinese Academy of Sciences, Beijing, 100080, P. R. of China

    Jiayu Li (Partner Group of Max Planck Institute for Mathematics in the Sciences)

Authors
  1. Qun Chen
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  2. Jürgen Jost
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  3. Jiayu Li
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  4. Guofang Wang
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Corresponding author

Correspondence to Jürgen Jost.

Additional information

The research of QC and JYL was partially supported by NSFC and Fok Yingtung Education Fundation. QC also thanks the Max Planck Institute for Mathematics in the Sciences for support and good working conditions during the preparation of this paper.

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Chen, Q., Jost, J., Li, J. et al. Dirac-harmonic maps. Math. Z. 254, 409–432 (2006). https://doi.org/10.1007/s00209-006-0961-7

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  • DOI: https://doi.org/10.1007/s00209-006-0961-7

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