Regularity Theorems and Energy Identities for Dirac-Harmonic Maps

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We 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.
to appear in Math.Zeitschrift

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Differential Geometry, Analysis of PDEs, 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/73240

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411327
 http://arxiv.org/abs/math/0411327

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arXiv