Statistical nature of Skyrme-Faddeev models in $2+1$ dimensions and normalizable fermions

Yuki Amari, Masaya Iida, Nobuyuki Sawado

The Skyrme-Faddeev model has planar soliton solutions with target space $\mathbb{C}{P}^N$. An Abelian Chern-Simons term (the Hopf term) in the Lagrangian of the model plays a crucial…