The symmetries of spontaneous lattice distortions in carbon nanotubes are i
nvestigated. When the degeneracy of the ground states remains discrete, the
re are solitons or domain walls connecting the different symmetry-broken va
ccua. These solitons, similarly to the case of polyacetelene, are fractiona
lly charged states. In addition to the topological domain walls, there are
polaron states with discrete energies within the energy gap. The energies a
nd shapes of these localized midgap states should be accessible via scannin
g tunneling microscopy spectroscopy.