Xingang Chen, Gary Shiu, Yoske Sumitomo, S. -H. Henry Tye
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 implies 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.
View original:
http://arxiv.org/abs/1112.3338
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