Magnetic versus inverse magnetic catalysis in hot and dense quark matter

We consider a five-dimensional fully anisotropic holographic model supported by Einstein-dilaton-three-Maxwell action. This type of model within different warp-factors and the coupling function for the Maxwell field providing the nontrivial chemical potential can describe magnetic/inverse magnetic catalysis phenomena expected from lattice results for heavy and light quarks. To reproduce magnetic catalysis phenomena for heavy quarks, we should modify the warp factor and consider additional polynomial terms in warp factor. It is expected that the first-order phase transition will coincide with chiral phase transition and the phase between first-order phase transition line and confinement/deconfinement line can be interpreted as quarkyonic phase.