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

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.

50 pages, 8 figures

References in corpus (31)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Dimer models and toric diagrams
• GUTs in Type IIB Orientifold Compactifications
• T-Branes and Monodromy
• D-brane Deconstructions in IIB Orientifolds
• New Aspects of Heterotic--F Theory Duality
• Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra
• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• Non-perturbative Yukawa Couplings from String Instantons
• Stringy Instantons at Orbifold Singularities
• D-brane Instantons on the T^6/Z_3 orientifold
• Correlation functions in conformal Toda field theory II
• Metastable vacua and D-branes at the conifold
• Dynamical SUSY Breaking at Meta-Stable Minima from D-branes at Obstructed Geometries
• Geometric Transitions and Dynamical SUSY Breaking
• Instantons and SUSY breaking in F-theory
• Global String Embeddings for the Nilpotent Goldstino
• Dimers and Orientifolds
• Non-perturbative F-terms across lines of BPS stability
• A Note on G-Fluxes for F-theory Model Building
• Topological duality twist and brane instantons in F-theory
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• G4-Flux and Standard Model Vacua in F-theory
• Non-perturbative superpotentials across lines of marginal stability
• On Instanton Superpotentials, Calabi-Yau Geometry, and Fibrations
• E3-brane instantons and baryonic operators for D3-branes on toric singularities
• Non-simply-laced Lie algebras via F theory strings
• Fitting fermion masses and mixings in F-theory GUTs
• D-brane instantons and matrix models
• On quantum corrected Kähler potentials in F-theory
• SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes

Cited by in corpus (5)

• The Standard Model Quiver in de Sitter String Compactifications
• On the Scarcity of Weak Coupling in the String Landscape
• A Note on Non-Flat Points in the $SU(5)\times U(1)$ PQ F-Theory Model
• Yukawa Hierarchies in Global F-theory Models
• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions