Moduli potentials in string compactifications with fluxes: Mapping the discretuum Academic Article uri icon

abstract

  • We find de Sitter and flat space solutions with all closed string moduli stabilized in four-dimensional supergravity theories derived from heterotic and type II string theories, and explain how all the previously known obstacles to finding such solutions can be removed. Further, we argue that if the compact manifold allows a large enough space of discrete topological choices then it is possible to tune the parameters of four-dimensional supergravity such that a hierarchy is created, and the solutions lie in the outer region of moduli space in which the compact volume is large in string units, the string coupling is weak, and string perturbation theory is valid. We show that at least two light chiral superfields are required for this scenario to work; however, one field is sufficient to obtain a minimum with an acceptably small and negative cosmological constant. We discuss the cosmological issues of the scenario and the po...

publication date

  • June 29, 2004