Abstract
We investigate an impact of the axial-vector interaction on 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 crucially enhanced then. 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.
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