Antonino Flachi, Masato Minamitsuji, Kunihito Uzawa
In this paper we consider a class of higher dimensional theories consisting of D-dimensional gravity coupled to a scalar dilaton and a form field propagating over a warped higher dimensional spacetime. Although in such theories it is possible to find exact cosmological de Sitter solutions, these suffer from instabilities that have been related to the runaway behavior of the moduli potential along the warped direction. In the simplest set-up, the models are characterized by two moduli: one related to the volume of the internal space, the other to the modulus of the warp factor. While the volume-modulus can be fixed by appropriately tuning the gauge field strength, curvature of the internal space, and cosmological constant, the same mechanism cannot work for the warp modulus. Here, we will present a stabilizing mechanism for the warp modulus and its mass in terms of quantum fluctuations from both moduli. We will show that, while quantum effects from the modulus associated to the warp modulus can only provide a stabilization mechanism of the mass scale in a restricted region of the parameter space, quantum effects from the volume modulus offer an efficient mechanism of stabilization.
View original:
http://arxiv.org/abs/1209.3978
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