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Decay of flux vacua to nothing

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(2010)cite arxiv:1009.0753 Comment: 31 pages, 15 figures.

Аннотация

We construct instanton solutions describing the decay of flux compactifications of a $6d$ gauge theory by generalizing the Kaluza-Klein bubble of nothing. The surface of the bubble is described by a smooth magnetically charged solitonic brane whose asymptotic flux is precisely that responsible for stabilizing the 4d compactification. We describe several instances of bubble geometries for the various vacua occurring in a $6d$ Einstein-Maxwell theory namely, AdS_4 x S^2, R^1,3 x S^2, and dS_4 x S^2. Unlike conventional solutions, the bubbles of nothing introduced here occur where a two-sphere compactification manifold homogeneously degenerates.

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