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arXiv · 1612.06874

$E_6$ Yukawa couplings in F-theory as D-brane instanton effects

Andres Collinucci·Iñaki García-Etxebarria
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Abstract

In a weak coupling limit the neighborhood of $E_6$ Yukawa points in $SU(5)$ GUT F-theory models is described by a non-resolvable orientifold of the conifold. We explicitly show, first directly in IIB and then via a mirror symmetry argument, that in this limit the $E_6$ Yukawa coupling is better described as coming from the non-perturbative contribution of a euclidean D1-brane wrapping the non-resolvable cycle. We also discuss how the M-theory description interpolates between the weak and strong coupling viewpoints.

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Andres Collinucci, Iñaki García-Etxebarria. 2016-12-20. $E_6$ Yukawa couplings in F-theory as D-brane instanton effects. https://doi.org/10.1007/jhep03(2017)155

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