Parity invariance for strings in twistor space

Topological string theory with twistor space as the target makes visible some otherwise difficult to see properties of perturbative Yang-Mills theory. But left-right symmetry which is obvious in the standard formalism, is highly unclear from this point of view. Here we prove that tree diagrams computed from connected D-instanton configurations are parity-symmetric. The main point in the proof also works for loop diagrams.