We investigate: excitons at the Si(111)-(2 x 1) surface and their optical s
pectrum from first principles. This is done by solving the Bethe-Salpeter e
quation for the two-particle Green's function, including the electron-hole
interaction. The optical spectrum of the surface is dominated by a surface
exciton formed from the pi-bonded surface states. The excitonic binding ene
rgy is more than 1 order of magnitude larger than in hulk Si. The two-parti
cle wave function of the exciton slate is strongly localized at the surface
and exhibits distinct anisotropy due to the surface reconstruction.