2019
DOI: 10.1002/prop.201900026
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Open Problems on Classical de Sitter Solutions

Abstract: Classical 10d string backgrounds with a 4d de Sitter space‐time, D‐brane and orientifold sources, are commonly believed to satisfy the following: 1.There is no classical de Sitter solution with parallel sources. 2.Classical de Sitter solutions with intersecting sources are unstable. 3.Classical de Sitter solutions cannot have at the same time a large internal volume, a small string coupling, a bounded number of orientifolds and quantized fluxes. These three conjectures are of particular relevance to the swam… Show more

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Cited by 70 publications
(132 citation statements)
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References 157 publications
(476 reference statements)
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“…Similar analysis may also be extended to Lovelock black holes with electric charge, rotation, and topologically nontrivial AdS asymptotics. In the present work we only consider the asymptotically AdS and flat spacetime, while physics in de Sitter space-time has remained so far open problems [43]. It would be interesting to investigate black hole evaporation process in de Sitter space-time (see, e.g.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…Similar analysis may also be extended to Lovelock black holes with electric charge, rotation, and topologically nontrivial AdS asymptotics. In the present work we only consider the asymptotically AdS and flat spacetime, while physics in de Sitter space-time has remained so far open problems [43]. It would be interesting to investigate black hole evaporation process in de Sitter space-time (see, e.g.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…The truncation of [20] contains the four real scalars (A, χ, φ, ξ), with A related to the volume modulus v of section 2: it does not capture all the scalars of the universal sector of N = 2 supergravity, since 8 We are using "superspace conventions" as in [48] so that,…”
Section: Consistent Truncation Without Condensatesmentioning
confidence: 99%
“…The no-go theorem might also be circumvented at the classical level by including orientifold sources (see[5] for a recent proposal), although this scenario is also subject to stringent constraints[6,7,8].2 This follows from the positive action conjecture[21], which in its turn can be seen to follow from the positive energy theorem[24,25,26,27].…”
mentioning
confidence: 99%
“…(For the most recent measurements of the Hubble constant and the associated discrepancies, see [4][5][6]; see below.) The existence and realization of de Sitter space as a solution in string theory is still considered and open question [7], and the interest in this fundamental issue has been recently reignited in [8,9]; see also [10,11]. We argue that one can successfully address the problem of dark energy and the observed de Sitter spacetime in a generic, non-commutative generalized geometric phase-space formulation of string theory.…”
mentioning
confidence: 93%