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Abstract
The critical behavior of a model describing phase transitions in 3D antiferromagnets with $2N$-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order and resummed by the generalized Pad\'e-Borel procedure preserving the specific symmetry properties of the model. An anisotropic stable fixed point is found to exist in the RG flow diagram for $N>~2$ and lies near the Bose fixed point; corresponding critical exponents are close to those of the $\mathrm{XY}$ model. The accuracy of the results obtained is discussed and estimated.
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