  We study the Aharonov-Bohm effect in the optical phenomena of single wall
carbon nanotubes (SWCN) and also their chirality dependence. Specially, we
consider the natural optical activity as a proper observable and derive it's
general expression based on a comprehensive symmetry analysis, which reveals
the interplay between the enclosed magnetic flux and the tubule chirality for
arbitrary chiral SWCN. A quantitative result for this optical property is given
by a gauge invariant tight-binding approximation calculation to stimulate
experimental measurements.
