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20152021
most citedNon-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications

16 citations

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5 papers · 1 filter

hep-th2021★ 1 cited

Non-split singularities and conifold transitions in F-theory

Rinto Kuramochi, Shun'ya Mizoguchi, Taro Tani

In F-theory, if a fiber type of an elliptic fibration involves a condition that requires an exceptional curve to split into two irreducible components, it is called ``split'' or ``…

hep-th2020★ 6 cited

Magic square and half-hypermultiplets in F-theory

Rinto Kuramochi, Shun'ya Mizoguchi, Taro Tani

In six-dimensional F-theory/heterotic string theory, half-hypermultiplets arise only when they correspond to particular quaternionic Kähler symmetric spaces, which are mostly assoc…

hep-th2020★ 6 cited

Half-hypermultiplets and incomplete/complete resolutions in F-theory

Naoto Kan, Shun'ya Mizoguchi, Taro Tani

We consider resolutions of codimension-two enhanced singularities from to and from to in six-dimensional F-theory, where a half-hypermultiplet arises for…

hep-th2018★ 16 cited

Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications

Shun'ya Mizoguchi, Taro Tani

The Mordell-Weil lattices (MW lattices) associated to rational elliptic surfaces are classified into 74 types. Among them, there are cases in which the MW lattice is none of the we…

hep-th2015★ 3 cited

Anomaly-free Multiple Singularity Enhancement in F-theory

Shun'ya Mizoguchi, Taro Tani

We study global Calabi-Yau realizations of multiple singularity enhancement relevant for family-unification model building in F-theory. We examine the conditions under which the ge…