Abstract
A three-step procedure is proposed in type IIA string theory to stabilize multiple moduli in a dS vacuum. The first step is to construct a progenitor model with a localized stable supersymmetric Minkowski vacuum, or a discrete set of such vacua. It can be done, for example, using two non-perturbative exponents in the superpotential for each modulus, as in the KL model [1]. A large set of supersymmetric Minkowski vacua with strongly stabilized moduli is protected by a theorem on stability of these vacua in absence of flat directions [2]. The second step involves a parametrically small downshift to a supersymmetric AdS vacuum, which can be achieved by a small change of the superpotential. The third step is an uplift to a dS vacuum with a positive cosmological constant using the overline{D6} -brane contribution [3, 4]. Stability of the resulting dS vacuum is inherited from the stability of the original supersymmetric Minkowski vacuum if the supersymmetry breaking in dS vacuum is parametrically small [2, 5].
Highlights
Stability of the resulting dS vacuum is inherited from the stability of the original supersymmetric Minkowski vacuum if the supersymmetry breaking in dS vacuum is parametrically small [2, 5]
One may argue that the situation with dS vacua in the type IIA string theory became similar to the situation in the type IIB case
In this paper we would like to suggest a procedure which allows mass production of dS vacua in the type IIA string theory based on models which have as their progenitors stable supersymmetric Minkowski vacua
Summary
Our strategy of finding a theory with a supersymmetric Minkowski vacuum state with a potential having a localized minimum consists of the following steps. An uplifting of this vacuum state to a dS state with a nearly vanishing VAdS can be achieved due to the anti-D3-brane contribution represented by a nilpotent field X. One can describe it by adding a term μ2X to the superpotential and a term XXto the Kahler potential, and taking X = 0 after calculating all quantities of interest, such as the potential.
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