标题： 准拓扑分数量子：三维偶极规范理论 显示英文标题

标题： Quasi-topological fractons: a 3D dipolar gauge theory

摘要： 我们研究了三维时空中一个通用的二阶张量场理论，该理论涉及一个在无穷小微分同胚下变换的对称张量场以及一个向量场，其规范变换依赖于局部向量参数。 规范固定显示了一个非平凡的结构，并列出了一些非直观的可能性。 尽管这一理论并非拓扑理论，但能量动量张量在运动学上为零，这证明了我们将此理论称为准拓扑理论的合理性。 我们证明了该理论具有三个自由度。 此外，我们发现了一个有趣的物理解释，其中包括广义平面电磁学以及两个活动受限的矢量电荷的出现。 这些是典型的分数量子行为，可以与所谓的无迹标量和矢量电荷理论联系起来。 显示英文摘要

摘要： We consider the theory of a generic rank-2 tensor field in three spacetime dimensions, which involves a symmetric tensor field transforming under infinitesimal diffeomorphisms, and a vector field, whose gauge transformation depends on a local vector parameter. The gauge fixing shows a non-trivial structure, and some non-intuitive possibilities are listed. Despite the fact that the theory is not topological, the energy-momentum tensor vanishes on-shell, which justifies the quasi-topological appellation we give to this theory. We show that the theory has three degrees of freedom. Moreover we find an interesting physical interpretation, which consists in a generalized planar electromagnetism and in the emergence of two vector charges with restricted mobility. These are typical fractonic behaviours which can be related to the so called traceless scalar and vector charge theories.