A note on the magnitude of the flux superpotential

The magnitude of the flux superpotential W flux plays a crucial role in determining the scales of IIB string compactifications after moduli stabilisation. It has been argued that values of W flux ≠1 are preferred, and even required for physical and consistency reasons. This note revisits these arg...

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Main Authors: Cicoli, M, Conlon, J, Maharana, A, Quevedo, F
Format: Journal article
Language:English
Published: 2014
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author Cicoli, M
Conlon, J
Maharana, A
Quevedo, F
author_facet Cicoli, M
Conlon, J
Maharana, A
Quevedo, F
author_sort Cicoli, M
collection OXFORD
description The magnitude of the flux superpotential W flux plays a crucial role in determining the scales of IIB string compactifications after moduli stabilisation. It has been argued that values of W flux ≠1 are preferred, and even required for physical and consistency reasons. This note revisits these arguments. We establish that the couplings of heavy Kaluza-Klein modes to light states scale with the internal volume as g ∼ M KK /M P ∼ -2/3 ≠1 and argue that consistency of the superspace derivative expansion requires gF/M 2 ∼ m 3/2 /M KK ≠1, where F is the auxiliary field of the light fields and M the ultraviolet cutoff. This gives only a mild constraint on the flux superpotential, W flux ≠1/3, which can be easily satisfied for (1) values of W flux. This regime is also statistically favoured and makes the Bousso-Polchinski mechanism for the vacuum energy hierarchically more efficient. © 2014 The Author(s).
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spelling oxford-uuid:49c460ca-0f1f-47d8-a678-f1cb1aa5ccfb2022-03-26T15:33:36ZA note on the magnitude of the flux superpotentialJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:49c460ca-0f1f-47d8-a678-f1cb1aa5ccfbEnglishSymplectic Elements at Oxford2014Cicoli, MConlon, JMaharana, AQuevedo, FThe magnitude of the flux superpotential W flux plays a crucial role in determining the scales of IIB string compactifications after moduli stabilisation. It has been argued that values of W flux ≠1 are preferred, and even required for physical and consistency reasons. This note revisits these arguments. We establish that the couplings of heavy Kaluza-Klein modes to light states scale with the internal volume as g ∼ M KK /M P ∼ -2/3 ≠1 and argue that consistency of the superspace derivative expansion requires gF/M 2 ∼ m 3/2 /M KK ≠1, where F is the auxiliary field of the light fields and M the ultraviolet cutoff. This gives only a mild constraint on the flux superpotential, W flux ≠1/3, which can be easily satisfied for (1) values of W flux. This regime is also statistically favoured and makes the Bousso-Polchinski mechanism for the vacuum energy hierarchically more efficient. © 2014 The Author(s).
spellingShingle Cicoli, M
Conlon, J
Maharana, A
Quevedo, F
A note on the magnitude of the flux superpotential
title A note on the magnitude of the flux superpotential
title_full A note on the magnitude of the flux superpotential
title_fullStr A note on the magnitude of the flux superpotential
title_full_unstemmed A note on the magnitude of the flux superpotential
title_short A note on the magnitude of the flux superpotential
title_sort note on the magnitude of the flux superpotential
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