BPS states for scalar field theories based on ${\mathfrak{g}}_2$ and $\mathfrak{su}(4)$ algebras

G. Luchini, T. Tassis

We discuss two models in $1+1$ dimensional space-time for real scalar field multiplets on the root space of ${\mathfrak{g}}_2$ and $\mathfrak{su}(4)$ Lie algebras. The construction o…