An improved Nicolai map for super Yang-Mills theory

Abstract

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

1+8 pages + appendices; v2: minor corrections, matches published version

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Cited by in corpus (2)

• Nicolai maps for super Yang-Mills on the light cone
• Towards a Nicolai map for supergravity