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arxiv: 1703.05681 · v2 · pith:EU45X24Tnew · submitted 2017-03-16 · 🧮 math.DG · math-ph· math.AP· math.MP

On conservation laws for the supersymmetric sigma model

classification 🧮 math.DG math-phmath.APmath.MP
keywords conservationlawsadditionanalyticapplicationscasederivedirac-harmonic
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We derive conservation laws for Dirac-harmonic maps and their extensions to manifolds that have isometries, where we mostly focus on the spherical case. In addition, we discuss several geometric and analytic applications of the latter.

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