Let \((\phi _\alpha , \psi _\alpha )\) be a sequence of \(\alpha \)-Dirac-harmonic maps from a Riemann surface M to a compact Riemannian manifold N with uniformly bounded energy. If the target N is a sphere \(S^{K-1}\), we show that the energy identity and necklessness hold during the interior blow-up process as \(\alpha \searrow 1\) for such a sequence .

中文翻译：

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$$\alpha $$ α -Dirac-harmonic 映射到球体的能量恒等式和无颈

令\((\phi _\alpha , \psi _\alpha )\)是一系列\(\alpha \) -Dirac-harmonic 映射，从黎曼曲面M到具有均匀有界能量的紧凑黎曼流形N。如果目标N是一个球体\(S^{K-1}\)，我们表明能量恒等式和无颈在内部爆炸过程中保持为\(\alpha \searrow 1\)对于这样的序列。