Moduli Stabilization with Non‐Geometric Fluxes — Comments on Tadpole Contributions and de‐Sitter Vacua

Abstract We examine the mechanism of moduli stabilization by fluxes in the limit of a large number of moduli. We conjecture that one cannot stabilize all complex-structure moduli in F-theory at a generic point in moduli space (away from singularities) by fluxes that satisfy the bound imposed by the tadpole cancellation condition. More precisely, while the tadpole bound in the limit of a large number of complex-structure moduli goes like 1/4 of the number of moduli, we conjecture that the amount of charge induced by fluxes stabilizing all moduli grows faster than this, and is therefore larger than the allowed amount. Our conjecture is supported by two examples: K3 × K3 compactifications, where by using evolutionary algorithms we find that moduli stabilization needs fluxes whose induced charge is 44% of the number of moduli, and Type IIB compactifications on $$ \mathbbm{CP} $$ CP 3, where the induced charge of the fluxes needed to stabilize the D7-brane moduli is also 44% of the number of these moduli. Proving our conjecture would rule out de Sitter vacua obtained via antibrane uplift in long warped throats with a hierarchically small supersymmetry breaking scale, which require a large tadpole.

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Moduli stabilization, de Sitter vacua and supersymmetry breaking

10.22323/1.258.0007 ◽

2016 ◽

Author(s):

Ignatios Antoniadis

Keyword(s):

Supersymmetry Breaking ◽

De Sitter ◽

Moduli Stabilization ◽

De Sitter Vacua

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MODULI STABILIZATION IN STRINGY ISS MODELS

International Journal of Modern Physics A ◽

10.1142/s0217751x08040792 ◽

2008 ◽

Vol 23 (14n15) ◽

pp. 2190-2191

Author(s):

MASAHITO YAMAZAKI

Keyword(s):

Cosmological Constant ◽

Susy Breaking ◽

Fine Tuning ◽

De Sitter ◽

Moduli Stabilization ◽

De Sitter Vacua

We present a stringy realization of the ISS metastable SUSY breaking model with moduli stabilization. The mass moduli of the ISS model is stabilized by gauging of a U(1) symmetry and its D-term potential. The SUSY is broken both by F-terms and D-terms. It is possible to obtain de-Sitter vacua with a vanishingly small cosmological constant by an appropriate fine-tuning of flux parameters. The content of this article is based on our recent paper1, which is in collaboration with Yu Nakayama (Berkeley) and Tsutomu Yanagida (Tokyo).

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Unimodular vs nilpotent superfield approach to pure dS supergravity

Journal of High Energy Physics ◽

10.1007/jhep01(2021)146 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Sukruti Bansal ◽

Silvia Nagy ◽

Antonio Padilla ◽

Ivonne Zavala

Keyword(s):

String Theory ◽

General Framework ◽

Recent Progress ◽

High Energy ◽

De Sitter Spacetime ◽

De Sitter ◽

New Approach ◽

Sitter Spacetime ◽

Novel Approach ◽

De Sitter Vacua

Abstract Recent progress in understanding de Sitter spacetime in supergravity and string theory has led to the development of a four dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua, also called de Sitter supergravity. One approach makes use of constrained (nilpotent) superfields, while an alternative one couples supergravity to a locally supersymmetric generalization of the Volkov-Akulov goldstino action. These two approaches have been shown to give rise to the same 4D action. A novel approach to de Sitter vacua in supergravity involves the generalisation of unimodular gravity to supergravity using a super-Stückelberg mechanism. In this paper, we make a connection between this new approach and the previous two which are in the context of nilpotent superfields and the goldstino brane. We show that upon appropriate field redefinitions, the 4D actions match up to the cubic order in the fields. This points at the possible existence of a more general framework to obtain de Sitter spacetimes from high-energy theories.

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