Dark Monopoles in Grand Unified Theories

Understand

We consider a Yang-Mills-Higgs theory with gauge group $G=SU(n)$ broken to $G_{v} = [SU(p)\times SU(n-p)\times U(1)]/Z$ by a Higgs field in the adjoint representation.

• We obtain monopole solutions whose magnetic field is not in the Cartan Subalgebra.
• Since their magnetic field vanishes in the direction of the generator of the electromagnetic group $U(1)_{em}$, we call them Dark Monopoles.
• These Dark Monopoles must exist in some Grand Unified Theories (GUTs) without the need to introduce a dark sector.