  We obtain exact results for correlation functions of primary operators in the
two-dimensional conformal field theory of a scalar field interacting with a
critical periodic boundary potential. Amplitudes involving arbitrary bulk
discrete primary fields are given in terms of SU(2) rotation coefficients while
boundary amplitudes involving discrete boundary fields are independent of the
boundary interaction. Mixed amplitudes involving both bulk and boundary
discrete fields can also be obtained explicitly. Two- and three-point boundary
amplitudes involving fields at generic momentum are determined, up to
multiplicative constants, by the band spectrum in the open-string sector of the
theory.
