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Near-infrared magneto-optical spectroscopy of single-walled carbon nanotubesreveals two absorption peaks with an equal strength at high magnetic fields($>$ 55 T). We show that the peak separation is determined by the Aharonov-Bohmphase due to the tube-threading magnetic flux, which breaks the time-reversalsymmetry and lifts the valley degeneracy. This field-induced symmetry breakingthus overcomes the Coulomb-induced intervalley mixing which is predicted tomake the lowest exciton state optically inactive (or ``dark'').Comment: 4 pages, 4 figure

Excitons in Carbon Nanotubes with Broken Time-Reversal Symmetry