  We examine supersymmetric properties of null-warped AdS$_3$, or alternatively
Schrodinger geometries, dual to putative warped CFTs in two dimensions. We
classify super Schrodinger subalgebras of the superalgebra psu(1, 1$|$2)
$\oplus$ psu(1, 1$|$2), corresponding to the superconformal algebra of the
AdS$_3 \times$ S$^3$ geometry. We comment on geometric realisations and provide
a string theory description with enhanced supersymmetry in terms of
intersecting D3-branes. For type IIB supergravity solutions based on T$^{1,1}$,
we consider the relationship between five-dimensional Schrodinger solutions and
their three-dimensional null-warped counterparts, corresponding to R symmetry
twists. Finally, we study a family of null-warped AdS$_3$ solutions in a
setting where there is an ambiguity over the R symmetry and confirm that, for
examples admitting a Kaluza-Klein (KK) reduction to three dimensions, the
minimisation of a real superpotential of the three-dimensional gauged
supergravity captures the central charge and R symmetry.
