Many phases of generalized 3D instanton crystals

Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear takes the form crystal instantons flavor group. this article we initiate analysis three-dimensional structures and orientation patterns for two-body potential that follows from duality. The outcome includes several unexpected results. We perform simulations ensembles O(10000) whereby identify lattice structure orientations different values weight factors non-Abelian terms potential. resulting phase diagram surprisingly complex, including variety ferromagnetic antiferromagnetic crystals with various global patterns, "non-Abelian" where have no preferred direction. latter include variants face-centered-cubic, hexagonal, simple cubic which may remarkably or small aspect ratios. simulation results are augmented by analytic long-distance divergences, numerical computation (divergence free) energy differences between crystals, allows us to precisely determine diagram.