We study SU( N c ) gauge theories with Dirac fermions in representations ℛ of nonzero N -ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed ’t Hooft anomaly with general baryon-color-flavor backgrounds, called the “BCF anomaly” in [1]. The infrared theory also has an emergent ℤ N c 1 $$ {\mathrm{\mathbb{Z}}}_{N_c}^{(1)} $$ 1-form center symmetry. We show that the BCF anomaly is matched in the infrared by axion domain walls. We argue that ℤ N c 1 $$ {\mathrm{\mathbb{Z}}}_{N_c}^{(1)} $$ is spontaneously broken on axion domain walls, so that nonzero N -ality Wilson loops obey the perimeter law and probe quarks are deconfined on the walls. We give further support to our conclusion by using a calculable small-circle compactification to study the multi-scale structure of the axion domain walls and the microscopic physics of deconfinement on their worldvolume.

中文翻译：

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轴子畴壁上的解除限制

我们用狄拉克费米子研究 SU(Nc) 规范理论，表示非零 N-ality，耦合到轴子。这些理论具有精确的离散手征对称性，它具有混合的 't Hooft 异常与一般重子颜色风味背景，在 [1] 中称为“BCF 异常”。红外理论也有一个涌现的 ℤ N c 1 $$ {\mathrm{\mathbb{Z}}}_{N_c}^{(1)} $$ 1 形式的中心对称性。我们表明 BCF 异常在红外线中与轴子畴壁相匹配。我们认为 ℤ N c 1 $$ {\mathrm{\mathbb{Z}}}_{N_c}^{(1)} $$ 在轴子畴壁上自发断裂，因此非零 N -ality Wilson 循环遵循周长定律和探测夸克被解除限制在墙上。