  It is of interest to study supergravity solutions preserving a non-minimal
fraction of supersymmetries. A necessary condition for supersymmetry to be
preserved is that the spacetime admits a Killing spinor and hence a null or
timelike Killing vector field. Any spacetime admitting a covariantly constant
null vector field ($CCNV$) belongs to the Kundt class of metrics, and more
importantly admits a null Killing vector field. We investigate the existence of
additional non-spacelike isometries in the class of higher-dimensional $CCNV$
Kundt metrics in order to produce potential solutions that preserve some
supersymmetries.
