Geometrically constrained sine-Gordon field: BPS solitons and their collisions

E. da Hora, L. Pereira, C. dos Santos +1

We consider an enlarged $(1+1)$-dimensional model with two real scalar fields, $\ddot{I}•$ and $\ddot{I}‡$ whose scalar potential $V(\ddot{I}•,\ddot{I}‡)$ has a standard $\ddot{I}{‡}^4$ sector and a sine-Gordon one fo…