Speaker
Mr
Rinto Kuramochi
(SOKENDAI)
Description
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 E_7, we investigate, as the final magical example, an F-theory on an elliptic fibration over a Hirzebruch surface of the non-split I_6 type, in which the unbroken gauge symmetry is supposed to be Sp(3). Rather unexpectedly, we find significant qualitative differences between the previous F-theory models associated with the magic square and the present case.
