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Recently, a homogeneous ansatz has been used to study cold dense nuclearmatter in the Sakai-Sugimoto model of holographic QCD. To justify thishomogeneous approximation we here investigate a homogeneous ansatz within alow-dimensional toy version of Sakai-Sugimoto to study finite baryon densityconfigurations and compare it to full numerical solutions. We find the ansatzcorresponds to enforcing a dyon salt arrangement in which the soliton solutionsare split into half-soliton layers. Within this ansatz we find analogues of theproposed baryonic popcorn transitions, in which solutions split into multiplelayers in the holographic direction. The homogeneous results are found toqualitatively match the full numerical solutions, lending confidence to thehomogeneous approximations of the full Sakai-Sugimoto model. In addition, wefind exact compact solutions in the high density, flat space limit whichdemonstrate the existence of further popcorn transitions to three layers andbeyond.

Salty popcorn in a homogeneous low-dimensional toy model of holographic QCD