An operator formalism is used to derive A^-particle tree amplitudes for a new conformal string model. In contrast with classical string theories based on the dynamics of 2D boson and fermion fields, this new superconformal dynamics is determined exclusively by 2D fermion fields. For these fermion modes, the Pauli principle makes the spectrum of physical states much narrower than that in classical string theories. The Pauli principle also makes it possible to compare this state spectrum with the hadron spectrum in 7r-meson interactions.