Recent
experiments have shown the possibility of tuning the transport
properties of metallic nanosized superconductors through a gate voltage.
These results renewed the longstanding debate on the interaction between
electrostatic fields and superconductivity. Indeed, different works
suggested competing mechanisms as the cause of the effect: an unconventional
electric field-effect or quasiparticle injection. Here, we provide
conclusive evidence for the electrostatic-field-driven control of
the supercurrent in metallic nanosized superconductors, by realizing
ionic-gated superconducting field-effect nanotransistors (ISFETs)
where electron injection is impossible. Our Nb ISFETs show giant suppression
of the superconducting critical current of up to ∼45%. Moreover,
the bipolar supercurrent suppression observed in different ISFETs,
together with invariant critical temperature and normal-state resistance,
also excludes conventional charge accumulation/depletion. Therefore,
the microscopic explanation of this effect calls upon a novel theory
able to describe the nontrivial interaction of static electric fields
with conventional superconductivity.