Infinite Distance and Zero Gauge Coupling in 5d Supergravity
Ben Heidenreich, Tom Rudelius
TL;DR
This paper proves that in 5d supergravity from M-theory compactified on Calabi-Yau threefolds, points with zero gauge coupling are at infinite distance in moduli space, aligning with swampland conjectures.
Contribution
It establishes a precise relationship between vanishing gauge couplings and infinite distance in moduli space for 5d supergravity theories.
Findings
Points of zero gauge coupling are at infinite distance in moduli space.
Infinite distance points correspond to vanishing gauge couplings.
Results support swampland conjectures like the Weak Gravity Conjecture.
Abstract
In this note, we prove that for all five-dimensional supergravities arising from M-theory compactified on a Calabi-Yau threefold, points of vanishing gauge coupling lie at infinite distance in the moduli space. Conversely, any point at infinite distance in the vector multiplet moduli space is a point of vanishing gauge coupling. This agrees with expectations from the Tower/Sublattice Weak Gravity Conjecture, the Swampland Distance Conjecture, and the Emergence Proposal.
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