Parity Invariance For String In Twistor Space

Abstract

Topological string theory with twistor space as the target makes visible some otherwise dificult 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.