A stringy test of the Scalar Weak Gravity Conjecture
By Seung-Joo Lee, W. Lerche, T. Weigand. Nuclear Physics B, 2018
168 citations recorded by the source corpus.
Abstract We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar fields. The latter are known to modify the Weak Gravity Conjecture bound in two a priori independent ways: First, the extremality condition of a charged black hole is modified, and second, the test particles required to satisfy the Weak Gravity Conjecture are subject to additional Yukawa type interactions. We argue on general grounds that at weak coupling, the two types of effects are equivalent for a tower of asymptotically massless charged test particles predicted by the Swampland Distance Conjecture. We then specialize to F-theory compactified on elliptic Calabi–Yau three-folds and prove that the precise numerical bound on the charge-to-mass ratio is satisfied at weak coupling. This amounts to an intriguing coincidence of two a priori different notions of extremality, namely one based on the balance of gauge, gravitational and scalar forces for extremal (non-BPS) black holes, and the other encoded in the modular properties of certain Jacobi forms. In the presence of multiple abelian gauge group factors, the elliptic genus counting these states is a lattice quasi-Jacobi form of higher rank, and we exemplify this in a model with two abelian gauge group factors.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/8a1e09572debb6c7d4b6eb9cc6f271e7ca5ff791
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In Astronomy and Astrophysics
- Eran Palti
- I. Valenzuela
- Delaram Mirfendereski
- J. Calderón-Infante
- Marieke van Beest
- Gary Shiu
- Pablo Soler
In Nuclear and High Energy Physics
Citations in the corpus
- Lectures on the Swampland Program in String Compactifications (2021, background): “This merging of the conjectures has been seen to occur at weak coupling limits of several string theory setups [44,45] and it is expected to hold whenever there is a gauge coupling vanishing at infinite distance.”
- Emergent strings from infinite distance limits (2019, unknown): “For explicit recent computations of distances in moduli space with respect to the relevant Kähler metrics, see [7–10,12,17].”
- The Swampland: Introduction and Review (2019, methodology): “In [102] it was shown that in six dimensions the tower of states associated to the distance conjecture does not satisfy the Scalar Weak Gravity Conjecture, although there may be other states which do.”