  We demonstrate an atom interferometer operating on the $^1S_0-{}^3P_0$ clock
transition of $^{87}$Sr atoms in a "magic" optical guide, where the light shift
perturbations of the guiding potential are canceled. As a proof-of-principle
demonstration, a Mach-Zehnder interferometer is set horizontally to map the
acceleration introduced by the focused optical guide. This magic guide
interferometer on the clock transition is applicable to atomic elements where
magic wavelengths can be found. Possible applications of the magic guide
interferometer, including a hollow-core fiber interferometer and gradiometer,
are discussed.
