Dirac-Harmonic Maps

2004/11/18 by Qun Chen, Juergen Jost, Chen, Qun +5 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #math.AP #math.DG #msc:58E20

paper · pdf · doi:10.48550/arxiv.math/0411402

arxiv created 2004/11/18 · arxiv updated 2009/12/01

Abstract

We introduce a functional that couples the nonlinear sigma model with a spinor field: L=∫_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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