  We study holographic dual descriptions of very special conformal field
theories with the T(2) symmetry. After constructing solutions in effective five
dimensional Einstein gravity coupled with massive two-form fields, we uplift
them to the ten dimensional type IIB supergravity, via a consistent truncation
ansatz, to derive new analytical solutions in string theory. From the
Kaluza-Klein ansatz in terms of the internal Sasaki-Einstein space, we obtain
their field theory interpretation with concrete realizations in a large class
of holographic $\mathcal{N}=1$ supersymmetric conformal field theories. Null
compactification of these theories yields holographic dual descriptions of
non-relativistic critical systems with translational invariance but without
rotational invariance such as the ones induced from a constant electromagnetic
field.
