论文标题
2组全球对称性，流体动力学和全息图
2-group global symmetries, hydrodynamics and holography
论文作者
论文摘要
2组全局对称性是一个特定的示例，说明了如何将更高形式和常规的全局对称性融合为更大的结构。我们构建了一种流体动力学理论，描述了由$ u（1）$零形成的2组全局对称性和$ u（1）$ ONE-ONE-ONForm对称性组成的2组全局对称性的有限实现。我们从欧几里得分区函数中研究热力学的方面，并从各种角度从理想的流体动力学中得出构成关系。结果理论的新特征包括手性磁效应的类似物和沿磁场线传播的手性声音模式。我们还讨论了对2组全局对称性的理论的简约全息描述，并从流体动力描述中验证预测。一路走来，我们阐明了在有限温度下更高形式理论中对称性破裂的某些方面。
2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a 2-group global symmetry composed out of $U(1)$ zero-form and $U(1)$ one-form symmetries. We study aspects of the thermodynamics from a Euclidean partition function and derive constitutive relations for ideal hydrodynamics from various points of view. Novel features of the resulting theory include an analogue of the chiral magnetic effect and a chiral sound mode propagating along magnetic field lines. We also discuss a minimalist holographic description of a theory dual to 2-group global symmetry and verify predictions from hydrodynamic descriptions. Along the way we clarify some aspects of symmetry breaking in higher-form theories at finite temperature.
