Charged Nariai black holes on the dark bubble

In this paper, we realise the charged Nariai black hole on a braneworld from a nucleated bubble in AdS${}_5$, known as the dark bubble model. Geometrically, the black hole takes the form of a cylindrical spacetime pulling on the dark bubble. This is realised by a brane embedding in an AdS${}_5$ black string background. Identifying the brane with a D3-brane in string theory allows us to determine a relation between the fine structure constant and the string coupling, ${\alpha }_{\text{EM}}=\frac{3}{2}{g}_s$, which was previously obtained for a microscopic black hole. We also speculate on the consequences for the Festina Lente bound and neutrino masses.