5 problems

An integrable model is a model in fewer than four space-time dimensions, while self-dual Yang–Mills theory is the self-dual sector of Yang–Mills theory in four space-time dimension…

Let $\mathcal{R}^q$ and $\mathcal{R}^m$ be the basic recursion operators, and define, for $i,j\in\mathbb{Z}$, $\mathcal{R}_i^j$ by … with negative powers interpreted using the corr…

Let the rYME be the reduced quasi-classical self-dual Yang–Mills equation, and let the two constructed full-fledged recursion operators be denoted by $\mathcal{R}^q$ and…

Consider self-dual Yang–Mills theory on Burns space with gauge group $\operatorname{SO}(8)$, and let the large $N$ chiral algebra be the celestial chiral algebra described in the p…

Let SDYM denote self-dual Yang–Mills theory in four dimensions with signature $(2,2)$, and let the lower-dimensional bosonic integrable systems be those in dimensions $D\leq 3$. At…