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Starting from a one-dimensional model of relativistic fermions with $SO(5)$spin and $U(N_f)$ flavor degrees of freedom we study the condensation of$SO(5)_{N_f}$ anyons. In the low-energy limit the quasi-particles in the spinsector of this model are found to be massive solitons forming multiplets in the$SO(5)$ vector or spinor representations. The solitons carry internal degreesof freedom which are identified as $SO(5)_{N_f}$ anyons. By controlling theexternal magnetic fields the transitions from a dilute gas of free anyons tovarious collective states of interacting ones are observed. We identify thegeneralized parafermionic cosets describing these collective states and proposea low temperature phase diagram for the anyonic modes.

Condensates of interacting non-Abelian $SO(5)_{N_f}$ anyons