Bit Strings from N=4 Gauge Theory

TL;DR

This paper improves the string bit theory for N=4 gauge theory, accurately reproducing non-planar amplitudes by incorporating operator mixing, non-planar corrections, and supersymmetry, achieving a precise match with gauge theory results.

Contribution

It introduces an enhanced formalism that accounts for operator mixing and non-planar effects, improving the correspondence between string theory and gauge theory calculations.

Findings

Exact match between string bit theory and gauge theory amplitudes at order (g_2)^2.

Incorporation of operator mixing and non-planar corrections.

Supersymmetry used to construct Hamiltonian matrix elements to all orders.

Abstract

We present an improvement of the interacting string bit theory proposed in hep-th/0206059, 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 non-planar corrections to the inner product. We use supersymmetry to construct the bosonic matrix elements of the light-cone Hamiltonian to all orders in g_2, and make a detailed comparison with the non-planar amplitudes obtained from gauge theory to order (g_2)^2. We find a precise match.