Spin-1/2 partons in a dual model of hadrons

Spin-\textonehalf{} partons are introduced into dual-parton theory. A nearest-neighbor antiferromagnetic interaction in longitudinal momentum is postulated and solved in the infinite-momentum frame. The resultant theory has a two-dimensional conformally invariant continuum limit and yields a dual theory of mesons and baryons which are magnonlike excitations of the spin lattice. For an even number of partons the model is equivalent to the Neveu-Schwarz meson theory. The odd-number case defines half-integer-spin states which are identified with baryons. The model is equivalent to a covariant model described previously. An important feature is the possibility of constructing current operators, although the gauge-invariance problem has not been solved yet. A major difficulty is the tachyonic nature of the "pion." Also, the nonspurious baryonic states have not yet been identified.