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The critical thermodynamics of an $MN$-component field model with cubicanisotropy relevant to the phase transitions in certain crystals withcomplicated ordering is studied within the four-loop $\ve$ expansion using theminimal subtraction scheme. Investigation of the global structure of RG flowsfor the physically significant cases M=2, N=2 and M=2, N=3 shows that the modelhas an anisotropic stable fixed point with new critical exponents. The criticaldimensionality of the order parameter is proved to be equal to$N_c^C=1.445(20)$, that is exactly half its counterpart in the real hypercubicmodel.Comment: 9 pages, LaTeX, no figures. Published versio

Critical thermodynamics of three-dimensionalMN-component field model with cubic anisotropy from higher-loop ε expansion