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From Cosmology, we have learned that we live in an almost de Sitter (positively accelerated!) Universe. It seems that dS space solutions in superstring/theory are problematic and there are some no-go theorems about it...The question is:

Can we found de Sitter space solutions or almost de Sitter space (asymptotically dS) solutions in the space of solutions of superstring/M theory? What could be the weak points of no-go de Sitter spaces in Superstring theory? How could we modify superstring theory in order to admit "naturally" dS vacua?

Remark: in terms of the superstring theory landscape, is there any almost dS space solution in superstring theories similar to the Universe, with a positive cosmological constant?

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    $\begingroup$ Didn't you ask this before? $\endgroup$ Jun 16, 2015 at 17:08
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    $\begingroup$ See also this answer from Luboš. $\endgroup$ Jun 16, 2015 at 17:09
  • $\begingroup$ Yes, but I am asking here more for possible "scape" to the issue of no dS spacetime solutions in (current) string theory... $\endgroup$
    – riemannium
    Jun 16, 2015 at 17:17
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    $\begingroup$ What do you mean by "low energy"? Few Tevs? Hundreds of TeV's? The GUT or Planck scale? Something intermediate between the EW and the GUT/Planck scale? $\endgroup$
    – riemannium
    Jun 16, 2015 at 17:33
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    $\begingroup$ @riemannium: you need to do some reading around this area yourself. When I say supersymmetry is broken at low energy I mean that up to the energies we have studied in colliders supersymmetry is broken. This is an experimental observation. If string/M theory is correct there will be a supersymmetry breaking at some energy, but string/M theory is insufficienty developed to make a prediction of where this happens. $\endgroup$ Jun 17, 2015 at 6:19

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