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arxiv: 1311.3581 · v1 · pith:YO22MYOTnew · submitted 2013-11-14 · 🧮 math.DG · math-ph· math.AP· math.MP

The evolution equations for regularized Dirac-geodesics

classification 🧮 math.DG math-phmath.APmath.MP
keywords equationsevolutionregularizeddirac-geodesicsregularizationversiondirac-geodesicdirac-harmonic
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We study the evolution equations for a regularized version of Dirac-geodesics, which are the one-dimensional version of Dirac-harmonic maps. We show that for the regularization being sufficiently large, the evolution equations subconverge to a regularized Dirac-geodesic. In the end, we discuss the limiting process of removing the regularization.

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