Spatial modulation and topological current in holographic QCD matter.

We investigate an impact of the axial-vector interaction on the spatial modulation of quark matter. A magnetic field coupled with baryon density leads to a topological axial current so that the effect of the axial-vector interaction is then crucially enhanced. Using the Sakai-Sugimoto model, we have found that contrary to a naive expectation, the spatially modulated phase is less favored for a stronger magnetic field, which is realized by the presence of topological current.