标题： 连续流体中具有奇异性粘度的拓扑波的规范理论 显示英文标题

标题： Gauge theory for topological waves in continuum fluids with odd viscosity

摘要： 我们考虑在手性体力作用下的二维连续流体中的奇异性粘度。 手性体力使流体的低能激发谱出现能隙，而奇异性粘度允许我们在流体中引入每个能带的第一个陈数。 利用流体力学变量与U(1)规范场强度之间的映射，我们推导出一种用于拓扑非平凡波的U(1)规范理论。 所得的U(1)规范理论由带有与奇异性粘度相关附加项的麦克斯韦-陈-西蒙斯理论给出。 然后，我们在存在边界的情况下具体求解规范场的运动方程，并找到边缘模解。 最后，我们讨论连续系统背景下体-边界对应关系（BBC）的命运。 显示英文摘要

摘要： We consider two-dimensional continuum fluids with odd viscosity under a chiral body force. The chiral body force makes the low-energy excitation spectrum of the fluids gapped, and the odd viscosity allows us to introduce the first Chern number of each energy band in the fluids. Employing a mapping between hydrodynamic variables and U(1) gauge-field strengths, we derive a U(1) gauge theory for topologically nontrivial waves. The resulting U(1) gauge theory is given by the Maxwell-Chern-Simons theory with an additional term associated with odd viscosity. We then solve the equations of motion for the gauge fields concretely in the presence of the boundary and find edge-mode solutions. We finally discuss the fate of bulk-boundary correspondence (BBC) in the context of continuum systems.