Bit strings from N = 4 gauge theory

We present an improvement of the interacting string bit theory proposed in [1], designed to reproduce the non-planar perturbative amplitudes between BMN operators in N = 4 gauge theory. Our formalism incorporates the effect of operator mixing and all nonplanar corrections to the inner product. We use supersymmetry to construct the bosonic matrix elements of the light-cone hamiltonian to all orders in g₂, and make a detailed comparison with the non-planar amplitudes obtained from gauge theory to order g₂ ². We find a precise match.