  We present a five-dimensional twice anisotropic holographic model supported
by Einstein-dilaton-three-Maxwell action describing light quarks. The first of
the Maxwell fields provides finite chemical potential. The second Maxwell field
serves for anisotropy, characterizing spatial anisotropy of the QGP produced in
heavy-ion collisions (HIC). The third Maxwell field is related to a magnetic
field that appears in HIC. The dependence of the 5-dim black hole solution and
confinement/deconfinement phase diagram on this magnetic field is considered.
The effect of the inverse magnetic catalyses for light quarks phase diagram is
obtained. Positions of critical end points are found. We also study the
behavior of the conductivity for light quarks in both isotropic and anisotropic
cases and show that behaviour of the conductivity near critical points
essentially depend on quark masses, meanwhile at high temperature they are
similar.
