Dirac-Harmonic Maps

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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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Differential Geometry, Analysis of PDEs, 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/73279

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411402
 http://arxiv.org/abs/math/0411402

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arXiv