  The Schr\"{o}dinger-Virasoro Lie algebra \mathfrak{sv} is an extension of the
Virasoro Lie algebra by a nilpotent Lie algebra formed with a bosonic current
of weight 3/2 and a bosonic current of weight 1. It is also a natural
infinite-dimensional extension of the Schr\"odinger Lie algebra, which -leaving
aside the invariance under time-translation - has been proved to be a symmetry
algebra for many statistical physics models undergoing a dynamics with
dynamical exponent z=2; it should consequently play a role akin to that of the
Virasoro Lie algebra in two-dimensional equilibrium statistical physics. We
define in this article general Schr\"odinger-Virasoro primary fields by analogy
with conformal field theory, characterized by a 'spin' index and a
(non-relativistic) mass, and construct vertex algebra representations of
\mathfrak{sv} out of a charged symplectic boson and a free boson. We also
compute two- and three-point functions of still conjectural massive fields that
are defined by analytic continuation with respect to a formal parameter.
