Data for Fig. 8 of J. Phys. A 51 (2018) 495002

Contribution of the $SU(3)_{N_f}$ anyons to the low temperature properties of the model (2.1): using the criteria described in the main text the parameter regions are identified using analytical arguments for $T\to0$ (the actual location of the boundaries is based on numerical data for $p_0=2+1/3$ and $T=0.05/M_0$). For small fields (regions I,II) a gas of non-interacting quasi-particles with the anyon as an internal zero energy degree of freedom bound to them is realized. Here the dashed line ($H_1\equiv H_2$ or $\epsilon^{(1)}_j\equiv \epsilon^{(2)}_j$) indicates the crossover between regions where the quarks (region I), or antiquarks (region II) dominate the free energy. In region III the presence of thermally activated solitons with a small but finite density lifts the degeneracy of the zero modes. The collective phases formed by condensed solitons are labelled by the corresponding CFTs providing the effective description of the low energy excitations.