Monopoles, Dyons and Theta Term in Dirac-Born-Infeld Theory

We present dyon solutions to an SU(2) Dirac-Born-Infeld (DBI) gauge theory coupled to a Higgs triplet. We consider different non-Abelian extensions of the DBI action and study the resulting solutions numerically, comparing them with the standard Julia-Zee dyons. We discuss the existence of a critical value of \(\beta\), the Born-Infeld absolute field parameter, below which the solution ceases to exist. We also analyse the effect of modifying the DBI action so as to include the analogous of the \(\theta\) term, showing that Witten formula for the dyon charge also holds in DBI theories.