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Bubbles of nothing in flux compactifications

Bubbles of nothing in flux compactifications

We construct a simple ${\mathrm{AdS}}_{4}\ifmmode\times\else\texttimes\fi{}{S}^{1}$ flux compactification stabilized by a complex scalar field winding the single extra dimension and demonstrate an instability to nucleation of a bubble of nothing. This occurs when the Kaluza-Klein dimension degenerates to a point, defining the bubble surface. Because the extra dimension is stabilized by …