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.

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

Grassi Antonella;
2018

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.
Anderson Lara B, Grassi, Antonella; Gray, James; Oehlmann, Paul-Konstantin
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/682316
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