Moduli space reconstruction and Weak Gravity
Naomi Gendler, Ben Heidenreich, Liam McAllister, Jakob Moritz, Tom Rudelius
Abstract
A bstract We present a method to construct the extended Kähler cone of any Calabi-Yau threefold by using Gopakumar-Vafa invariants to identify all geometric phases that are related by flops or Weyl reflections. In this way we obtain the Kähler moduli spaces of all favorable Calabi-Yau threefold hypersurfaces with h 1 , 1 ≤ 4, including toric and non-toric phases. In this setting we perform an explicit test of the Weak Gravity Conjecture by using the Gopakumar-Vafa invariants to count BPS states. All of our examples satisfy the tower/sublattice WGC, and in fact they even satisfy the stronger lattice WGC.
Topics & Concepts
Moduli spaceConjecturePhysicsPure mathematicsModuliSpace (punctuation)Lattice (music)Mathematical physicsTheoretical physicsMathematicsQuantum mechanicsComputer scienceAcousticsOperating systemAlgebraic Geometry and Number TheoryGeometry and complex manifoldsAdvanced Algebra and Geometry