  We propose a theory for quasi-two-dimensional transition metal
dichalcogenides that provides a unified microscopic picture of the charge
density wave (CDW) and superconducting phases. We show, based on the
electron-phonon coupling and Fermi surface topology, that a CDW order parameter
with six-fold symmetry and nodes (f-wave) gives a consistent description of the
available experimental data. The elementary excitations in the CDW phase are
Dirac electrons. The superconducting state has its origin on the attractive
interaction mediated by phonons. The theory predicts strong deviations from
Fermi liquid theory in the CDW phase.
