We consider the hypothesis that the C-field 4-flux and 7-flux forms in M-theory are in the image of the non-abelian Chern character map from the non-abelian generalized cohomology theory called J-twisted Cohomotopy theory. We prove for M2-brane backgrounds in M-theory on 8-manifolds that such charge quantization of the C-field in Cohomotopy theory implies a list of expected anomaly cancellation conditions, including: shifted C-field flux quantization and C-field tadpole cancellation, but also the DMW anomaly cancellation and the C-field’s integral equation of motion.

中文翻译：

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扭曲同伦意味着 8 流形上的 M 理论异常抵消

我们考虑以下假设，即 M 理论中的 C 场 4 通量和 7 通量形式在非阿贝尔广义上同调理论称为 J 扭曲同伦理论的非阿贝尔陈字符映射的图像中。我们在 8 流形的 M 理论中证明了 M2 膜背景，同伦理论中 C 场的这种电荷量化意味着一系列预期的异常消除条件，包括：移位 C 场通量量化和 C 场蝌蚪消除，而且还有 DMW 异常消除和 C 场的积分运动方程。