  We study the dimensions of non-chiral operators in the Veneziano limit of N=1
supersymmetric QCD in the conformal window. We show that when acting on
gauge-invariant operators built out of scalars, the 1-loop dilatation operator
is equivalent to the spin chain Hamiltonian of the 1D Ising model in a
transverse magnetic field, which is a nontrivial integrable system that is
exactly solvable at finite length. Solutions with periodic boundary conditions
give the anomalous dimensions of flavor-singlet operators and solutions with
fixed boundary conditions give the anomalous dimensions of operators whose ends
contain open flavor indices.

High Energy Physics - Theory