7 problems

Let the knot solitons be the knot-like topological solitons of the Skyrme–Faddeev-type effective theory for QCD, and let glueball states denote bound states of gluonic degrees of f…

A chiral skyrmion is a localized magnetic configuration, and a chiral kink is a kink on its outer domain wall. Consider configurations with chiral kinks on an outer domain wall and…

Consider the two linked lines obtained as preimages of two distinct regular points on the 2-sphere under the Hopf map applied to a Skyrme field. The underlying field is an original…

Let $X=\mathbb{R}^3\cup\{\infty\}$ and let $U:X\to S^3$ be a map of degree $B$. Interpret $U$ as two vortices in $\psi_1$ and $\psi_2$ of $\boldsymbol{\psi}\in S^3$, with winding n…

Faddeev-model glueball conjecture. Faddeev-model solitons describe glueballs.

Compacton seed conjecture. Compactons in the pure models are seeds for multi-skyrmions in the full theory.

The Skyrme–Faddeev (SF) model is a four-dimensional field theory with finite-energy knot solitons carrying a topological charge given by the Hopf map $S^3\to S^2$. Skyrme–Faddeev Y…