Weak Gravity Bounds in Asymptotic String Compactifications

Abstract

We study the charge-to-mass ratios of BPS states in four-dimensional $\mathcal{N}=2$ supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory. We present a formula for the asymptotic charge-to-mass ratio valid for all limits in complex structure moduli space. This is achieved by using the sl(2)-structure that emerges in any such limit as described by asymptotic Hodge theory. The asymptotic charge-to-mass formula applies for sl(2)-elementary states that couple to the graviphoton asymptotically. Using this formula, we determine the radii of the ellipsoid that forms the extremality region of electric BPS black holes, which provides us with a general asymptotic bound on the charge-to-mass ratio for these theories. Finally, we comment on how these bounds for the Weak Gravity Conjecture relate to their counterparts in the asymptotic de Sitter Conjecture and Swampland Distance Conjecture.

48 pages plus appendices, 1 figure

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Cited by in corpus (16)

• A Gravitino Distance Conjecture
• Moduli Stabilization in Asymptotic Flux Compactifications
• Asymptotic Accelerated Expansion in String Theory and the Swampland
• Asymptotic Safety: Swampland or Wonderland?
• Bulk Reconstruction in Moduli Space Holography
• The Asymptotic Weak Gravity Conjecture in M-theory
• Tameness, Strings, and the Distance Conjecture
• 4d strings at strong coupling
• Universal Axion Backreaction in Flux Compactifications
• Swampland geometry and the gauge couplings
• Emergent Strings in Type IIB Calabi--Yau Compactifications
• Deformed WZW Models and Hodge Theory -- Part I
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Stability of BPS States and Weak Coupling Limits
• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
• The Tadpole Conjecture in Asymptotic Limits