The weak gravity conjecture and scalar fields

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142 Scopus citations


We propose a generalisation of the Weak Gravity Conjecture in the presence of scalar fields. The proposal is guided by properties of extremal black holes in N= 2 supergravity, but can be understood more generally in terms of forbidding towers of stable gravitationally bound states. It amounts to the statement that there must exist a particle on which the gauge force acts more strongly than gravity and the scalar forces combined. We also propose that the scalar force itself should act on this particle stronger than gravity. This implies that generically the mass of this particle decreases exponentially as a function of the scalar field expectation value for super-Planckian variations, which is behaviour predicted by the Refined Swampland Conjecture. In the context of N= 2 supergravity the Weak Gravity Conjecture bound can be tied to bounds on scalar field distances in field space. Guided by this, we present a general proof that for any linear combination of moduli in any Calabi-Yau compactification of string theory the proper field distance grows at best logarithmically with the moduli values for super-Planckian distances.

Original languageEnglish
Article number34
JournalJournal of High Energy Physics
Issue number8
StatePublished - 1 Aug 2017
Externally publishedYes


  • Black Holes in String Theory
  • Effective Field Theories
  • Models of Quantum Gravity
  • Superstring Vacua

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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