  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.
