  We investigate symmetries of the six-dimensional $(2,0)$ theory reduced along
a compact null direction. The action for this theory was deduced by considering
M-theory on $AdS_7 \times S^4$ and reducing the $AdS_7$ factor along a
time-like Hopf fibration which breaks one quarter of the supersymmetry and
reduces the isometry group from $SO(6,2)$ to $SU(3,1)$. The boundary theory was
previously shown to have 24 supercharges and a Lifshitz scaling symmetry. In
this paper, we show that it has four boost-like symmetries and an additional
conformal symmetry which furnish a representation of $SU(3,1)$ when combined
with the other bosonic symmetries, providing a nontrivial check of the
holographic correspondence.
