An improved Nicolai map for super Yang-Mills theory
High Energy Physics - Theory
2023-01-24 v2 Mathematical Physics
math.MP
Abstract
Adding a topological theta term to the action of 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.
Cite
@article{arxiv.2211.07660,
title = {An improved Nicolai map for super Yang-Mills theory},
author = {Olaf Lechtenfeld and Maximilian Rupprecht},
journal= {arXiv preprint arXiv:2211.07660},
year = {2023}
}
Comments
1+8 pages + appendices; v2: minor corrections, matches published version