An improved Nicolai map for super Yang–Mills theory

Adding a topological theta term to the action of $\mathcal{N}{=}\,1$ $D{=}4$ super Yang-Mills theory modifies its Nicolai map. For BPS value angle chiral version map emerges, which allows for considerable simplification compared non-chiral formulation. We exhibit these improvements all orders in perturbation and compute fourth order coupling on Laudau-gauge hypersurface. The second-order contribution vanishes, antisymmetrizations are more manifest. All checks verified third order.