  We propose an alternative for the Clebsch decomposition of currents in fluid
mechanics, in terms of complex potentials taking values in a Kahler manifold.
We reformulate classical relativistic fluid mechanics in terms of these complex
potentials and rederive the existence of an infinite set of conserved currents.
We perform a canonical analysis to find the explicit form of the algebra of
conserved charges. The Kahler-space formulation of the theory has a natural
supersymmetric extension in 4-D space-time. It contains a conserved current,
but also a number of additional fields complicating the interpretation.
Nevertheless, we show that an infinite set of conserved currents emerges in the
vacuum sector of the additional fields. This sector can therefore be identified
with a regime of supersymmetric fluid mechanics. Explicit expressions for the
current and the density are obtained.
