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arxiv: 1405.5100 · v1 · pith:ELHDSXSGnew · submitted 2014-05-20 · 🧮 math.DG · math-ph· math.AP· math.MP

Dirac-harmonic maps with torsion

classification 🧮 math.DG math-phmath.APmath.MP
keywords mapsdirac-harmonictorsionactionanalyticconsidereddiscussexistence
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We study Dirac-harmonic maps from surfaces to manifolds with torsion, which is motivated from the superstring action considered in theoretical physics. We discuss analytic and geometric properties of such maps and outline an existence result for uncoupled solutions.

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