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Dirac-Harmonic Maps

Qun Chen·Juergen Jost·Jiayu Li·Guofang Wang
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Abstract

We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. 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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Qun Chen, Juergen Jost, Jiayu Li, Guofang Wang. 2004-11-18. Dirac-Harmonic Maps. https://arxiv.org/abs/math/0411402

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