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Regularity Theorems and Energy Identities for Dirac-Harmonic Maps
Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang
We study Dirac-harmonic maps from a Riemann surface to a sphere $\S^n$. We show that a weakly Dirac-harmonic map is in fact smooth, and prove that the energy identity holds during the blow-up process.