T-branes and Yukawa Couplings

Abstract

We consider various configurations of T-branes which are non-abelian bound states of branes and were recently introduced by Cecotti, Cordova, Heckman and Vafa. They are a refinement of the concept of monodromic branes featured in phenomenological F-theory models. We are particularly interested in the T-branes corresponding to Z3 and Z4 monodromies, which are used to break E7 or E8 gauge groups to SU(5) GUT. Our results imply that the up-type and down-type Yukawa couplings for the breaking of E7 are zero, whereas up-type and down-type Yukawa couplings, together with right handed neutrino Yukawas are non-zero for the case of the breaking of E8. The dimension four proton decay mediating term is avoided in models with either E7 or E8 breaking.

21 pages. Minor corrections

References in corpus (22)

• GUTs and Exceptional Branes in F-theory - I
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Lectures on F-theory compactifications and model building
• Matter From Geometry
• New Aspects of Heterotic--F Theory Duality
• Codimension-3 Singularities and Yukawa Couplings in F-theory
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• Particle Physics Implications of F-theory
• Compact F-theory GUTs with U(1)_PQ
• Froggatt-Nielsen models from E8 in F-theory GUTs
• Flavor Structure in F-theory Compactifications
• More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
• Proton stability in superstring derived models
• Right-handed Neutrinos in F-theory Compactifications
• The Point of E_8 in F-theory GUTs
• Realizing Higher-Level Gauge Symmetries in String Theory: New Embeddings for String GUTs
• F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy
• The Essential Role of String-Derived Symmetries in Ensuring Proton-Stability and Light Neutrino Masses
• New Constraints on SO(10) Model-Building from String Theory
• A Novel String Derived Z' With Stable Proton, Light-Neutrinos and R-parity violation
• GUT Relations from String Theory Compactifications
• Proton Stability and Superstring Z'

Cited by in corpus (23)

• Atomic Classification of 6D SCFTs
• 6d Conformal Matter
• T-Branes and Geometry
• Up-type quark masses in SU(5) F-theory models
• T-Branes at the Limits of Geometry
• Yukawa hierarchies at the point of $E_8$ in F-theory
• There and back again: A T-brane's tale
• Towards a Realistic F-theory GUT
• Toric Methods in F-theory Model Building
• SUSY enhancement from T-branes
• The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
• The Conformal Sector of F-theory GUTs
• Statistics of Flux Vacua for Particle Physics
• T-branes and ${\alpha }^{\prime }$-corrections
• GUT theories from Calabi-Yau 4-folds with SO(10) Singularities
• Compact T-branes
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Fitting fermion masses and mixings in F-theory GUTs
• T-branes and Matrix Models
• The two faces of T-branes
• Yukawa Hierarchies in Global F-theory Models
• T-branes and defects
• Yukawa Textures From Singular Spectral Data