Rigid nongeometric orientifolds and the swampland

Nongeometric flux compactifications with frozen complex structure moduli have been recently studied for several phenomenological purposes. In this context, we analyze the possibility of realizing de Sitter solutions in the context of N = 1 type II nongeometric flux compactifications using the T-6/(Z(3) x Z(3)) toroidal orientifolds. For the type IIB case, we observe that the Bianchi identities are too strong to simultaneously allow both the NS-NS three-form flux (H-3) and the nongeometric (Q) flux to take nonzero values, which makes this model irrelevant for phenomenology due to the no-scale structure. For the type RA case, we find that all the (nongeometric) flux solutions satisfying the Bianchi identities result in de Sitter no-go scenarios except for one case in which the no-go condition can be evaded. However for this case also, in our (limited) numerical investigation we do not find any de Sitter vacua using the integer fluxes satisfying all the Bianchi identities.

Automated summary

Research shows that achieving de Sitter solutions in some nongeometric flux compactification models is challenging, as the Bianchi identities limit the NS-NS three-form flux and nongeometric flux from simultaneously taking non-zero values.