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• W4210672011 abstract "Abstract In six-dimensional F-theory/heterotic string theory, half-hypermultiplets arise only when they correspond to particular quaternionic Kähler symmetric spaces, which are mostly associated with the Freudenthal–Tits magic square. Motivated by the intriguing singularity structure previously found in such F-theory models with a gauge group SU(6), SO(12), or E7, we investigate, as the final magical example, an F-theory on an elliptic fibration over a Hirzebruch surface of the non-split I6 type, in which the unbroken gauge symmetry is supposed to be Sp(3). We find significant qualitative differences between the previous F-theory models associated with the magic square and the present case. We argue that the relevant half-hypermultiplets arise at the E6 points, where half-hypermultiplets 20 of SU(6) would have appeared in the split model. We also consider the problem on the non-local matter generation near the D6 point. After stating what the problem is, we explain why this is so by using the recent result that a split/non-split transition can be regarded as a conifold transition." @default.
• W4210672011 created "2022-02-08" @default.
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• W4210672011 date "2022-02-23" @default.
• W4210672011 modified "2023-10-15" @default.
• W4210672011 title "The magic square and half-hypermultiplets in F-theory" @default.
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• W4210672011 doi "https://doi.org/10.1093/ptep/ptac022" @default.
• W4210672011 hasPublicationYear "2022" @default.
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