The weak gravity conjecture and scalar fields

By Eran Palti. 2017

207 citations recorded by the source corpus.

A bstractWe 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$$ \mathcal{N}=2 $$ 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$$ \mathcal{N}=2 $$ 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b024174883c7277f7e76d38b9ce0f36281866320

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Citations in the corpus

The String Landscape, the Swampland, and the Missing Corner (2017, background): “This is because an extension of the WGC [89] would suggest that the scalar field has to couple stronger than gravity to some matter fields and we already know, by lack of violation of the equivalence principle in the visible matter sector, that this should be in the dark sector.”
Lectures on the Swampland Program in String Compactifications (2021, background): “This condition was first proposed in [42] as the proper interpretation of the WGC in the presence of scalar fields, and later named as the RFC in [43].”
A Tower Weak Gravity Conjecture from Infrared Consistency (2018, background): “r content, the hierarchy of scales, or the stabilization of the radion. One may also investigate how our analysis changes when the radion is left unstabilized and how this relates to the arguments of [24], where a form of the WGC in the presence of massless scalar elds was conjectured. 33 An importa”
A stringy test of the Scalar Weak Gravity Conjecture (2018, methodology): “On the other hand, in [7] it has been argued that the particles into which an extremal black hole may decay must not be able to form gravitational bound states.”
The Swampland: Introduction and Review (2019, methodology): “rges through PI QI = pI I 1 R p I I 1 q I ! : (3.34) We now introduce the notation Q2 1 2 QTMQ: (3.35) Using this, the Weak Gravity Conjecture bound on the mass mof the particle was proposed in [92]. 50 Weak Gravity Conjecture (for general action (3.29)) [92] A theory with multiple U(1)s with a g”