We consider the 6d (1,0) SCFT on a stack of N M5-branes probing a ℂ 2 / ℤ 2 singularity. In particular, we study its compactifications to four dimensions on a smooth genus- g Riemann surface with non-trivial flavor flux, yielding a family of 4d CFTs. By tracking the M-theory origin of the global symmetries of the 4d CFTs, we detect the emergence of an accidental symmetry and the spontaneous symmetry breaking of a U(1) generator. These effects are visible from geometric considerations and not apparent from the point of view of the compactification of the 6d field theory. These phenomena leave an imprint on the ’t Hooft anomaly polynomial of the 4d CFTs, which is obtained from recently developed anomaly inflow methods in M-theory [1]. In the large- N limit, we identify the gravity dual of the 4d setups to be a class of smooth AdS 5 solutions first discussed by Gauntlett-Martelli-Sparks-Waldram. Using our anomaly polynomial, we compute the conformal central charge and a non-Abelian flavor central charge at large N , finding agreement with the holographic predictions.

中文翻译：

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异常流入、偶然对称和自发对称破缺

我们考虑 6d (1,0) SCFT 在一堆 N M5-膜上探测 ℂ 2 / ℤ 2 奇点。特别是，我们研究了它在光滑的黎曼曲面上的四个维度的压缩，具有非平凡的风味通量，产生了 4d CFT 家族。通过跟踪 4d CFT 全局对称性的 M 理论起源，我们检测到 U(1) 发生器的偶然对称性和自发对称性破坏的出现。这些效应从几何方面的考虑是可见的，而从 6d 场论的紧凑化的角度来看并不明显。这些现象在 4d CFT 的 't Hooft 异常多项式上留下了印记，该多项式是从 M 理论 [1] 中最近开发的异常流入方法中获得的。在大 N 极限下，我们将 4d 设置的重力对偶确定为 Gauntlett-Martelli-Sparks-Waldram 首次讨论的一类平滑 AdS 5 解决方案。使用我们的异常多项式，我们计算了大 N 处的保形中心电荷和非阿贝尔风味中心电荷，与全息预测一致。