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arXiv · 1801.08658

F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter

Lara B. Anderson·Antonella Grassi·James Gray·Paul-Konstantin Oehlmann
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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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Lara B. Anderson, Antonella Grassi, James Gray, Paul-Konstantin Oehlmann. 2018-01-26. F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter. https://doi.org/10.1007/jhep06(2018)098

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