标题： 流体/形式对偶性 显示英文标题

标题： Fluid/p-form duality

摘要： 在本研究中，我们证明了一种无粘性流体在接近平衡状态时，在d+1时空维度的拉格朗日图景中，可以重新表述为一个(d-1)形式规范理论。 我们构建了一个流体/ p形式字典，并表明流体侧的体积保持微分同胚在{(p+1)形式}规范理论侧表现为U(1)规范对称性。 {有趣的是，Kelvin的环量定理和质量连续性方程分别在规范理论方面表现为高斯定律和Bianchi恒等式。}此外，我们表明在源的层次上，流体侧的涡旋对应于规范理论侧的p膜。 我们还考虑了存在边界时的流体力学，并从流体和规范理论的角度检查了边界对称性和相应的电荷。 显示英文摘要

摘要： In this study, we demonstrate that an inviscid fluid in a near-equilibrium state, when viewed in the Lagrangian picture in d+1 spacetime dimensions, can be reformulated as a (d-1)-form gauge theory. We construct a fluid/p-form dictionary and show that volume-preserving diffeomorphisms on the fluid side manifest as a U(1) gauge symmetry on the {(p+1)-form} gauge theory side. {Intriguingly, Kelvin's circulation theorem and the mass continuity equation respectively appear as the Gauss law and the Bianchi identity on the gauge theory side.} Furthermore, we show that at the level of the sources, the vortices in the fluid side correspond to the p-branes in the gauge theory side. We also consider fluid mechanics in the presence of boundaries and examine the boundary symmetries and corresponding charges from both the fluid and gauge theory perspectives.