Abstract
We investigate in detail solutions of supergravity that involve warped products of flat geometries of the type Mp+1 × R × TD−p−2 depending on a single coordinate. In the absence of fluxes, the solutions include flat space and Kasner-like vacua that break all supersymmetries. In the presence of a symmetric flux, there are three families of solutions that are characterized by a pair of boundaries and have a singularity at one of them, the origin. The first family comprises supersymmetric vacua, which capture a universal limiting behavior at the origin. The first and second families also contain non-supersymmetric solutions whose behavior at the other boundary, which can lie at a finite or infinite distance, is captured by the no-flux solutions. The solutions of the third family have a second boundary at a finite distance where they approach again the supersymmetric backgrounds. These vacua exhibit a variety of interesting scenarios, which include compactifications on finite intervals and p + 1-dimensional effective theories where the string coupling has an upper bound. We also build corresponding cosmologies, and in some of them the string coupling can be finite throughout the evolution.
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Mourad, J., Sagnotti, A. On warped string vacuum profiles and cosmologies. Part I. Supersymmetric strings. J. High Energ. Phys. 2021, 137 (2021). https://doi.org/10.1007/JHEP12(2021)137
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DOI: https://doi.org/10.1007/JHEP12(2021)137