High electric charges in M-theory from quiver varieties

• DOI: 10.1007/jhep11(2019)111
• Publication Date: 2019-12-05T13:02:46Z
• Authors: Andrés Collinucci; Marco Fazzi; David R. Morrison; Roberto Valandro
• Keywords: Global Symmetries; High Energy Physics - Theory; FOS: Physical sciences; F-Theory; QC770-798; Atomic; 01 natural sciences; Mathematical Sciences; Particle and Plasma Physics; Nuclear and particle physics. Atomic energy. Radioactivity; Nuclear; 0101 mathematics; Mathematical Physics; Quantum Physics; hep-th; Molecular; Particle and High Energy Physics; M-Theory; F-Theory; Gauge Symmetry; Global Symmetries; M-Theory; Pure Mathematics; Nuclear & Particles Physics; Physique atomique et nucléaire; Nuclear and plasma physics; High Energy Physics - Theory (hep-th); Particle and high energy physics; Mathematical physics; Gauge Symmetry; Physical Sciences

Abstract M-theory on a Calabi-Yau threefold admitting a small resolution gives rise to an Abelian vector multiplet and a charged hypermultiplet. We introduce into this picture a procedure to construct threefolds that naturally host matter with electric charges up to six. These are built as families of Du Val ADE surfaces (or ALE spaces), and the possible charges correspond to the Dynkin labels of the adjoint of the ADE algebra. In the case of charge two, we give a new derivation of the answer originally obtained by Curto and Morrison, and explicitly relate this construction to the Morrison-Park geometry. We also give a procedure for constructing higher-charge cases, which can often be applied to F-theory models.