Abstract
In this article, 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.
Highlights
Quantum gravities with sufficient supersymmetry tend to have (i) gauge fields and (ii) continuous moduli spaces of vacua controlled by expectation values of scalar fields [1]
Much work has gone into understanding the universal behavior that arises in weakly coupled limits of these gauge theories and in asymptotic, infinite distance limits of these moduli spaces
The tower/sublattice weak gravity conjecture (T/sLWGC) requires an infinite tower of particles to become massless at a point of vanishing gauge coupling, whereas the swampland distance conjecture (SDC) requires an infinite tower of particles to become massless at an infinite distance point in moduli space
Summary
Quantum gravities with sufficient supersymmetry tend to have (i) gauge fields and (ii) continuous moduli spaces of vacua controlled by expectation values of scalar fields [1]. Much work has gone into understanding the universal behavior that arises in weakly coupled limits of these gauge theories and in asymptotic, infinite distance limits of these moduli spaces This had led to a number of “swampland conjectures” that attempt to describe this universal behavior, along with other general features of quantum gravities. A theory satisfying the SDC will have an infinite tower of massless particles in the limit of infinite distance, which, by the EP, should generate a vanishing gauge coupling (assuming the particles are charged). We will see that these expectations are borne out in 5D supergravity theories arising from M-theory compactifications on Calabi-Yau threefolds: points of vanishing gauge coupling are at infinite distance, and points at infinite distance in vector multiplet moduli space have vanishing gauge coupling.. We prove that points of zero gauge coupling lie at infinite distance in the moduli space as well as the converse statement
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