Vortices in polar and $β$ phases of $^3$He

Abstract: Recently new topological phase of superfluid $<sup>3$He has been discovered -- the $\beta$ phase, which is obtained by strong polarization of the nematic polar phase. We consider half-quantum vortices, which are formed in rotating cryostat, and discuss the evolution of the vortex lattice in the process of the transition from the polar phase to the $\beta$-phase via the spin-polarized polar phase.