We propose a theory for quasi-two-dimensional transition metal dichalcogeni
des that provides a unified microscopic picture of the charge density wave
(CDW) and superconducting phases. We show, based on the electron-phonon cou
pling and Fermi surface topology, that a CDW order parameter with sixfold s
ymmetry and nodes (f-wave) gives a consistent description of the available
experimental data. The elementary excitations in the CDW phase are Dirac el
ectrons. The superconducting state has its origin on the attractive interac
tion mediated by phonons. The theory predicts strong deviations from Fermi
liquid theory in the CDW phase.