A note on the magnitude of the flux superpotential

Michele Cicoli, Joseph P. Conlon, Anshuman Maharana, Fernando Quevedo

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number27
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 2014


  • Strings and branes phenomenology

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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