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arXiv · 2211.07660

An improved Nicolai map for super Yang-Mills theory

Olaf Lechtenfeld·Maximilian Rupprecht
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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.

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Olaf Lechtenfeld, Maximilian Rupprecht. 2022-11-14. An improved Nicolai map for super Yang-Mills theory. https://doi.org/10.1016/j.physletb.2023.137681

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