Abstract

We describe several applications of the mass production procedure proposed in [1] to stabilize multiple moduli in a dS vacuum, in supergravity models inspired by string theory. The construction involves a small downshift of an initial supersymmetric Minkowski minimum to a supersymmetric AdS minimum, and a consequent small uplift to a dS minimum. Our type IIA examples include dS stabilization in a 7-moduli model with [SL(2, ℝ)]7 tree level symmetry, and its simplified version, a 3-moduli STU model. In these models, we use uplifting anti-D6 branes. In type IIB models, we present 2- and 3-moduli examples of stable dS vacua in CY three-folds, with an uplifting anti-D3 brane. These include K3 fibration models, a CICY model and a multi-hole Swiss cheese model. We also address the issue whether this procedure is limited to a very small parameter range or if large deviations from the progenitor Minkowski vacuum are possible.

Highlights

  • The main results of [1] can be summarized as follows

  • We describe several applications of the mass production procedure proposed in [1] to stabilize multiple moduli in a dS vacuum, in supergravity models inspired by string theory

  • String theory inspired d = 4, N = 1 supergravity multi-moduli models have to satisfy a number of additional conditions, besides the ones specified above, which are necessary and sufficient for the existence of dS minima in supergravity

Read more

Summary

The KL model and its generalizations

We first review the KL model in its original formulation [7], together with the addition of a nilpotent chiral multiplet [2]. We provide some generalizations, which can be directly employed in the mass production mechanism

The basic KL model
A generalization with many moduli and many exponents
Properties of the mass matrix at the dS minimum
General properties of the mass matrix at the dS minimum
Special choices in type IIA
Special choices in type IIB
Type IIA examples
Specific example of the 7-moduli IIA model
The STU model
Type IIB models
K3-fibration with two parameters
K3-fibration with three parameters
K3 fibered CY model used for fibre inflation
Multi-hole Swiss cheese model
Stable dS states obtained by a large downshift and uplift
KL model with large downshift and uplift
STU model with large downshift and uplift
Summary and discussion
A More on dS stability
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call