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Non-split singularities and conifold transitions in F-theory by Kuramochi, Rinto; Mizoguchi, Shun'ya; Tani, Taro is a scholarly article available to read on EtoBox.

What is Non-split singularities and conifold transitions in F-theory about?

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 ``non-split'' type depending on whether it is globally possible or not. In the latter case, the gauge symmetry is reduced to a non-simply-laced Lie algebra due to monodromy. We show that this split/non-split transition is, except for a special class of models, a conifold transition from the resolved to the deformed side, associated with the conifold singularities emerging where the codimension-one singularity is enhanced to $D_{2k+2}$ $(k \geq 1)$ or $E_7$. We also examine how the previous proposal for the origin of non-local matter can be actually implemented in our blow-up analysis.

Author

Kuramochi, Rinto; Mizoguchi, Shun'ya; Tani, Taro

Published

2021

Language

EN