Classification of Axisymmetric Vortices inHe3-A

Singular vortex lines are predicted to occur in the rotating $A$ phase when the superfluid is confined in a parallel-plate geometry. A symmetry classification is introduced for the possible singly and doubly quantized axisymmetric vortices in ${}_{}{}^3{}_{}{}^{}\mathrm{He}$-$A$ in terms of the separate symmetries of the vortex hard-core and soft-core matters.