Bubbles of Nothing in Flux Compactifications

Details Bubbles of Nothing in Flux Compactifications Bubbles of Nothing in Flux Compactifications

2010-02-23

arxiv.org/abs/1002.4408v2

Phys.Rev.D82:086015,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 5 figures References added

Scientific paper

10.1103/PhysRevD.82.086015

We construct a simple AdS_4 x S^1 flux compactification stabilized by a complex scalar field winding the extra dimension and demonstrate an instability via 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 a flux, the bubble surface must be charged, in this case under the axionic part of the complex scalar. This smooth geometry can be seen as a de Sitter topological defect with asymptotic behavior identical to the pure compactification. We discuss how a similar construction can be implemented in more general Freund -- Rubin compactifications.

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