Abstract
Cylindrical braneworlds have been used in the literature as a convenient way to resolve co-dimension-two branes. They are prevented from collapsing by a massless worldvolume field with non-trivial winding, but here we discuss another way of preventing collapse, which is to rotate the brane. We use a simple microscopic field theory model of a domain wall with a condensate for which rotation is a necessity, not just a nice added extra. This is due to a splitting instability, whereby the effective potential trapping the condensate is not strong enough to hold it on the defect in the presence of winding without charge.We use analytic defect solutions in the field theory (kinky vortons) to construct a thin-wall braneworld model by including gravitational dynamics, and we allow for the rotation required by the microscopic theory. We then discuss the impact rotation has on the bulk and brane geometry, thereby providing an anchor for further cosmological investigations. Our setup naturally leads to worldvolume fields living at slightly different radii, and we speculate on the consequences of this in regard to the fermion mass-hierarchy.
Highlights
We use analytic defect solutions in the field theory to construct a thinwall braneworld model by including gravitational dynamics, and we allow for the rotation required by the microscopic theory
The hierarchy problem: according to the ADD proposal [14, 15] models with large volume extra dimensions can offer a geometrical explanation for the weakness of gravity, which becomes a consequence of the large extra space volume
In order to maintain a high level of generality, we study this setup within a minimal extra dimensional framework, which should make it possible to extent our construction to established finite and infinite volume braneworld models, or to further study it in its minimal form in accordance with the inflating “cigar” proposal in [25]
Summary
The idea behind a kinky vorton is to construct a domain wall (kink) in two spatial dimensions, and bend it into a circle. This, would be unstable, as the tension in the kink would cause the radius of the ring to reduce, and the kink would eventually collapse and decay into radiation To prevent this from happening we may put a condensate on the kink, and arrange it such that the condensate stabilizes the vorton at some radius, with the condensate providing both Nother charge and winding number to contribute towards stability. We discuss such a model, as described in [34, 36]
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