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Weak Gravity Bounds in Asymptotic String Compactifications
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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.
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Cited by 2 Pith papers
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The Computational Complexity of the Weak Gravity Conjecture
Checking the Convex Hull Weak Gravity Conjecture by explicitly constructing the charge-to-mass convex hull has worst-case runtime exponential in the number of U(1) gauge fields, but the paper also claims a polynomial ...
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