  Critical properties in photoemission spectra for the one-dimensional Mott
insulator with orbital degeneracy are studied by exploiting the integrable {\it
t-J} model, which is a supersymmetric generalization of the SU($n$) degenerate
spin model. We discuss the critical properties for the holon dispersion as well
as the spinon dispersions, by applying the conformal field theory analysis to
the exact finite-size energy spectrum. We study the effect of orbital-splitting
on the spectra by evaluating the momentum-dependent critical exponents.
