| Résume | Doubly periodic monopoles or monowalls for short are related to a number of interesting problems. Their moduli spaces are
hyperkähler manifolds of ALH type, they are isometric to the moduli spaces of Calabi-Yau manifolds and to spaces of vacua of five-dimensional quantum field theories compactified on a torus. We report our results with Rebekah Cross extracting the asymptotic metric from the monowall dynamics and relating it to the volumes cut out by plane arrangements in Euclidean three-space. As we found with Richard Ward, monowall charges are encoded in a Newton polygon N, and their moduli space phase structure is encoded in its secondary fan F(N). This view leads to a natural compactification of the monowall moduli space as an exploded manifold. |
