Abstract
Moduli spaces of doubly periodic monopoles, also called monopole walls or monowalls, are hyperkähler; thus, when four-dimensional, they are self-dual gravitational instantons. We find all monowalls with lowest number of moduli. Their moduli spaces can be identified, on the one hand, with Coulomb branches of five-dimensional supersymmetric quantum field theories on \( \mathbb{R} \) 3 × T 2 and, on the other hand, with moduli spaces of local Calabi-Yau metrics on the canonical bundle of a del Pezzo surface. We explore the asymptotic metric of these moduli spaces and compare our results with Seiberg’s low energy description of the five-dimensional quantum theories. We also give a natural description of the phase structure of general monowall moduli spaces in terms of triangulations of Newton polygons, secondary polyhedra, and associahedral projections of secondary fans.
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ArXiv ePrint: 1402.7117
In memory of Andrei Zelevinsky
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Cherkis, S.A. Phases of five-dimensional theories, monopole walls, and melting crystals. J. High Energ. Phys. 2014, 27 (2014). https://doi.org/10.1007/JHEP06(2014)027
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DOI: https://doi.org/10.1007/JHEP06(2014)027