Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities

Abstract

We classify solutions of 10d type IIA/B supergravities with orientifolds, on a 4d maximally symmetric spacetime times a 6d group manifold. We then look for new solutions in previously unexplored solution classes, and find some: (anti-) de Sitter solutions with intersecting O 4 , O 6 and D 6 , or Minkowski solutions with 3 intersecting O 5 , among others. We provide the numerical code that we developed for this purpose. We also prove new no-go theorems against (anti-) de Sitter solutions. We finally conjecture the absence of de Sitter solution for 2 or less intersecting source sets, implying that a 4d effective theory with de Sitter is at most N = 1 supersymmetric.

De Sitter, gravitino mass and the swampland

“…In turn, this would mean that 𝑁 = 0, 1 supersymmetry at the Lagrangian level seem to be the most promising chances to obtain a consistent effective description for de Sitter critical points, if the gravitino mass is vanishing. Notice that this is compatible with the recent conjecture of [44] and has a nice parallel with the scale separation analysis of [21]. In particular, minimal supersymmetry in four dimensions is peculiar since it allows for the existence of a superpotential which might not be directly related to a gauge coupling.…”

Weak gravity versus scale separation

“…The analogy with the fate of de Sitter vacua seems to hold also in this respect, as[34] recently conjectured that they should be possible only within (at most) N = 1 supersymmetric theories in four dimensions.…”

O6-plane backreaction on scale-separated Type IIA AdS$_3$ vacua

“…Finally, on a more general note, the understanding of three-dimensional non-supersymmetric vacua of string theory is interesting on its own right due to the applications in holography, but also as a way to scrutinize the 3d swampland. A clear classification of classical de Sitter vacua (as is done in 4d [39,40]) would have its own merits and in addition would verify or challenge the conspiracy of string theory against de Sitter [41][42][43][44][45]. First steps in this direction were done in [31,32] where smeared sources in Type IIA/B were also used, and it would be interesting to see how the unsmearing procedure we discussed here would change these results.…”