## Abstract

In F-theory GUTs interactions between fields are typically localised at points of enhanced symmetry in the internal dimensions implying that the coefficient of the associated operator can be studied using a local wavefunctions overlap calculation. Some F-theory SU(5) GUT theories may exhibit a maximum symmetry enhancement at a point to E_{8}, and in this case all the operators of the theory can be associated to the same point. We take initial steps towards the study of operators in such theories. We calculate wavefunctions and their overlaps around a general point of enhancement and establish constraints on the local form of the fluxes. We then apply the general results to a simple model at a point of E_{8} enhancement and calculate some example operators such as Yukawa couplings and dimension-five couplings that can lead to proton decay.

Original language | English |
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Article number | 65 |

Journal | Journal of High Energy Physics |

Volume | 2012 |

Issue number | 7 |

DOIs | |

State | Published - 1 Jul 2012 |

Externally published | Yes |

## Keywords

- F-theory
- Intersecting branes models

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