All conjugate-maximal-helicity-violating amplitudes from topological open string theory in twistor space

It has recently been proposed that the D-instanton expansion of the open topological B model on P3/4 is equivalent to the perturbative expansion of the maximally supersymmetric Yang-Mills theory in four dimensions. In this letter we show how to construct the gauge theory results for all n-point conjugate-maximal-helicity-violating amplitudes by computing the integral over the moduli space of curves of degree n-3 in P3/4, providing strong support to the string theory construction