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arXiv · 2106.04460

On Exact Solvability of $\mathcal N$=4 super Yang-Mills

Alexander D. Popov
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Abstract

We consider the ambitwistor description of $\mathcal N$=4 supersymmetric extension of U($N$) Yang-Mills theory on Minkowski space $\mathbb R^{3,1}$. It is shown that solutions of super-Yang-Mills equations are encoded in real analytic U($N$)-valued functions on a domain in superambitwistor space ${\mathcal L}_{\mathbb R}^{5|6}$ of real dimension $(5|6)$. This leads to a procedure for generating solutions of super-Yang-Mills equations on $\mathbb R^{3,1}$ via solving a Riemann-Hilbert-type factorization problem on two-spheres in $\mathcal L_{\mathbb R}^{5|6}$.

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Alexander D. Popov. 2021-06-08. On Exact Solvability of $\mathcal N$=4 super Yang-Mills. https://doi.org/10.1016/j.nuclphysb.2022.115742

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