Phases of rotating baryonic matter: non-Abelian chiral soliton lattices, antiferro-isospin chains, and ferri/ferromagnetic magnetization

A chiral soliton lattice (CSL), proposed as the ground state of rotating baryonic matter at a finite density, is shown to be unstable in large parameter region for two flavors owing pion condensations, leading types non-Abelian (NA) CSL phases (dimer and deconfining phases). We determine phase diagram where dimer meets other QCD vacuum three tricritical points. The critical angular velocity NA-CSLs lower than $\eta$-CSL. Each NA carries an isospin, antiferro-isospin chain formed gapless isospinons. anomalous coupling magnetic field provides NA-CSL ($\eta$-CSL) with ferrimagnetic (ferromagnetic) magnetization.