A Global View on The Search for de-Sitter Vacua in (type IIA) String Theory

Details A Global View on The Search for de-Sitter Vacua in (type IIA) String Theory A Global View on The Search for de-Sitter Vacua in (type IIA) String Theory

2011-12-14

arxiv.org/abs/1112.3338v4

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 5 figures; v2, v3: arguments improved, references added; v4: version to appear in JHEP

Scientific paper

The search for classically stable Type IIA de-Sitter vacua typically starts with an ansatz that gives Anti-de-Sitter supersymmetric vacua and then raises the cosmological constant by modifying the compactification. As one raises the cosmological constant, the couplings typically destabilize the classically stable vacuum, so the probability that this approach will lead to a classically stable de-Sitter vacuum is Gaussianly suppressed. This suggests that classically stable de-Sitter vacua in string theory (at least in the Type IIA region), especially those with relatively high cosmological constants, are very rare. The probability that a typical de-Sitter extremum is classically stable (i.e., tachyon-free) is argued to be Gaussianly suppressed as a function of the number of moduli.

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