Composite fermion theory of excitations in the fractional quantum Hall effect

Transport experiments are sensitive to charged 'quasiparticle' excitations of the fractional quantum Hall effect. Inelastic Raman scattering experiments have probed an amazing variety of other excitations: excitons, rotons, bi-rotons, trions, flavor altering excitons, spin waves, spin-flip excitons, and spin-flip rotons. This paper reviews the status of our theoretical understanding of these excitations.