Abstract
We explore 6-dimensional compactifications of F-theory exhibiting (2, 0) superconformal theories coupled to gravity that include discretely charged superconformal matter. Beginning with F-theory geometries with Abelian gauge fields and superconformal sectors, we provide examples of Higgsing transitions which break the U(1) gauge symmetry to a discrete remnant in which the matter fields are also non-trivially coupled to a (2, 0) SCFT. In the compactification background this corresponds to a geometric transition linking two fibered Calabi-Yau geometries defined over a singular base complex surface. An elliptically fibered Calabi-Yau threefold with non-zero Mordell-Weil rank can be connected to a smooth non-simply connected genus one fibered geometry constructed as a Calabi-Yau quotient. These hyperconifold transitions exhibit multiple fibers in co-dimension 2 over the base.
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Anderson, L.B., Grassi, A., Gray, J. et al. F-theory on quotient threefolds with (2,0) discrete superconformal matter. J. High Energ. Phys. 2018, 98 (2018). https://doi.org/10.1007/JHEP06(2018)098
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DOI: https://doi.org/10.1007/JHEP06(2018)098