Abstract
We argue that, in the presence of time-dependent fluxes and quantum corrections, four-dimensional de Sitter solutions should appear in the type IIB string landscape and not in the swampland. Our construction considers generic choices of local and non-local quantum terms and satisfies the no-go and the swampland criteria, the latter being recently upgraded using the trans-Planckian cosmic censorship. Interestingly, both time-independent Newton constant and moduli stabilization may be achieved in such backgrounds even in the presence of time-dependent fluxes and internal spaces. However, once the time-dependence is switched off, any four-dimensional solution with de Sitter isometries appears to have no simple effective field theory descriptions and is back in the swampland.
Highlights
Most generic sources of local and non-local quantum terms and argue from there how a four-dimensional de Sitter solution might be constructed
We argue that, in the presence of time-dependent fluxes and quantum corrections, four-dimensional de Sitter solutions should appear in the type IIB string landscape and not in the swampland
In a recent paper [28], we argued how one should be able to get a four-dimensional de Sitter space in the type IIB string landscape once certain time-dependences are switched on
Summary
In a recent paper [28], we argued how one should be able to get a four-dimensional de Sitter space in the type IIB string landscape once certain time-dependences are switched on. We will assume that the three and the five-form fluxes are all time-independent, the axion vanishes, and the dilaton (or the IIB coupling constant) is a constant The first background, (2.1), with time-independent internal space with the 4d de Sitter space in flat slicing or any equivalent slicings, does not appear to solve the IIB equations of motion because of the loss of gs and Mp hierarchies.. The first background, (2.1), with time-independent internal space with the 4d de Sitter space in flat slicing or any equivalent slicings, does not appear to solve the IIB equations of motion because of the loss of gs and Mp hierarchies.1 At least this shows that there is no simple EFT description possible with a background with four-dimensional de Sitter isometries and time-independent background fluxes. The local quantum terms may be expressed in powers of gs, forming the perturbative series, and in powers of exp. An example was provided in [28] to show how this influences the dynamics of the system
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