Regularity Theorems and Energy Identities for Dirac-Harmonic Maps

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dc.creatorChen, Qun
dc.creatorJost, Juergen
dc.creatorWang, Guofang
dc.creatorLi, Jiayu
dc.date2004-11-15
dc.date.accessioned2026-07-07T05:14:21Z
dc.date.available2026-07-07T05:14:21Z
dc.descriptionWe study a new set of coupled field equations motivated by the non-linear supersymmetric sigma model of quantum field theory. These equations couple a map into a Riemannian manifold controlled by a harmonic map like action with a spinor field along that map. We study the solutions which we call Dirac-harmonic maps from a Riemann surface to a sphere $§^n$. We show that a weakly Dirac-harmonic map is in fact smooth, and prove that the energy identity holds during the blow-up process.
dc.descriptionto appear in Math.Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0411327
dc.identifierhttp://arxiv.org/abs/math/0411327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73240
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58E20
dc.titleRegularity Theorems and Energy Identities for Dirac-Harmonic Maps
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