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Description
A central open question in string theory is whether it admits consistent and controlled solutions with realistic low-energy properties. In particular, extra dimensions must be hidden, and the many fields predicted by compactifications must be stabilized so that they decouple from low-energy physics. In this talk, I will present how such solutions arise as three-dimensional effective theories obtained from compactifications of ten-dimensional supergravity on G2 spaces, leading to vacua with the desired features. I will explain the crucial role of fluxes and localized sources (D-branes and O-planes) in constructing minimally supersymmetric anti–de Sitter (AdS) and de Sitter (dS) solutions, as well as in achieving moduli stabilization. A key focus will be on parametric control. For AdS solutions, we will discuss scenarios in which the characteristic low-energy scale can be separated from the Kaluza–Klein scale associated with the extra dimensions, while the solutions remain in a classical regime, where string theory is well described by supergravity. Importantly, I will demonstrate that such vacua also arise in other string theory frameworks (type IIA, type I, and heterotic), forming a network of families of solutions related through string dualities, and comment on how analogous solutions may also arise in effective theories across different spacetime dimensions. I will also discuss the construction of classical solutions with positive cosmological constant starting from AdS vacua, which is another open question in string theory. I will conclude by outlining ongoing work and future directions aimed at improving our understanding of whether theories with such properties can be consistently realized in string theory.
Videoconference via https://us02web.zoom.us/j/82249348474