TY - JOUR

T1 - The weak gravity conjecture and scalar fields

AU - Palti, Eran

N1 - Funding Information:
I would like to thank Arthur Hebecker and Pablo Soler for extremly helpful discussions. I am supported by the Heidelberg Graduate School of Fundamental Physics.
Publisher Copyright:
© 2017, The Author(s).

PY - 2017/8/1

Y1 - 2017/8/1

N2 - 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.

AB - 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.

KW - Black Holes in String Theory

KW - Effective Field Theories

KW - Models of Quantum Gravity

KW - Superstring Vacua

UR - http://www.scopus.com/inward/record.url?scp=85027845025&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2017)034

DO - 10.1007/JHEP08(2017)034

M3 - Article

AN - SCOPUS:85027845025

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

M1 - 34

ER -