New de Sitter solutions of 10d type IIB supergravity

Abstract

We find and study 17 new de Sitter solutions of ten-dimensional (10d) type IIB supergravity with intersecting D 5 -branes and orientifold O 5 -planes, as well as a new Minkowski one. These solutions are obtained numerically on 6d group manifolds, the compactness of which is established for 4 of them. We show that all our de Sitter solutions are perturbatively unstable, using a restricted 4d effective theory of four scalar fields. We finally analyse whether our solutions can be promoted to classical string backgrounds. Several of them appear as good candidates, as they satisfy all requirements imposed so far.

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

“…In more details, the source configurations are those of classes s 6666 , s 55 or s 555 ; de Sitter solutions, however, cannot be found in the latter [23], but were found in the two former.…”

“…It turns out that de Sitter solutions with parallel sources are expected not to exist (conjecture 1 in [20]), while having intersecting ones was shown to help in [35] to get a positive cosmological constant. De Sitter solutions satisfying the above ansatz with N > 1 were obtained in IIA for p = 6, in particular in [24], and in IIB for p = 5 in [23]. More examples will be given in Section 3.4.…”

“…10 . 8 As in [23], simplifications occur in the equations. Because of the O 5 projection and the fluxes being constant, the e.o.m.…”

“…The numerical code MaxSymSolSearch (MSSS) used to find new solutions follows the one used and described in [23], with several extensions and improvements; we refer to that paper for more technical details. As explained in Section 3.1, the first step is to choose a solution class.…”

Classical de Sitter solutions in three dimensions without tachyons?

“…The quest for classical dS vacua has already a history and started with the suggestive works [33,34] and later the more concrete proposals of [35][36][37]. A thorough but outdated scan and overview can be found in [38] whereas an update of the recent situation is described in [39][40][41][42][43] and [44][45][46]. Most of these works focussed on 4d vacua, but some preliminary results about higher dimensions are known [27] and a complicated suggestion for a metastable solution in 3d was proposed in [47].…”