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arxiv: 0904.3106 · v2 · submitted 2009-04-20 · ✦ hep-th

Quantum Tunneling in Flux Compactifications

classification ✦ hep-th
keywords fluxtunnelingcompactificationsdecaydimensionsextraactionbounded
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We identify instantons representing vacuum decay in a 6-dimensional toy model for string theory flux compactifications, with the two extra dimensions compactified on a sphere. We evaluate the instanton action for tunneling between different flux vacua, as well as for the decompactification decay channel. The bubbles resulting from flux tunneling have an unusual structure. They are bounded by two-dimensional branes, which are localized in the extra dimensions. This has important implications for bubble collisions.

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    Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.