Matrix Density Waves and Fractionally Charged Point Defects in Flavor Weyl Semimetals

A conventional interaction-driven Weyl density wave is a complex scalar and supports vortex lines, but no topologically stable point defects. We show that two Weyl flavors do not merely duplicate this order. Starting from the matrix-valued internode coherence, a local flavor-symmetric repulsion selects a traceless adjoint condensate within the density-wave sector, while the fermionic ground-state energy locks its complex components into the collinear form Δ=Φ 0 n e iθ. The resulting order-parameter manifold, (S 2 times S 1)/ Z 2, supports both unit hedgehogs and half-quantum Alice strings of the same electronic mass that gaps the Weyl fermions. An elementary hedgehog binds a single normalizable zero mode whose empty and occupied sectors carry charges-e/2 and +e/2 at neutrality. An elementary Alice string carries a single chiral electronic mode despite its π phase winding, and transporting a hedgehog around it reverses the hedgehog winding, N to-N. Flavor therefore converts spontaneous translation breaking into a route to point-defect fractionalization and intertwines the point- and line-defect sectors of an interaction-generated electronic mass.