Chiral matter wavefunctions in warped compactifications

Abstract

We analyze the wavefunctions for open strings stretching between intersecting 7-branes in type IIB/F-theory warped compactifications, as a first step in understanding the warped effective field theory of 4d chiral fermions. While in general the equations of motion do not seem to admit a simple analytic solution, we provide a method for solving the wavefunctions in the case of weak warping. The method describes warped zero modes as a perturbative expansion in the unwarped spectrum, the coefficients of the expansion depending on the warping. We perform our analysis with and without the presence of worldvolume fluxes, illustrating the procedure with some examples. Finally, we comment on the warped effective field theory for the modes at the intersection.

64 pages, 1 figure. References updated, typos fixed, discussion on varying dilaton case slightly modified. Version to appear in JHEP

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Cited by in corpus (26)

• Models of Particle Physics from Type IIB String Theory and F-theory: A Review
• Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses
• The Higgs mass from a String-Theoretic Perspective
• Warping the Kähler potential of F-theory/IIB flux compactifications
• Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
• Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
• Soft branes in supersymmetry-breaking backgrounds
• D6-branes and axion monodromy inflation
• Wavefunctions and the Point of E8 in F-theory
• Warped Kähler potentials and fluxes
• Effective Theory of Warped Compactifications and the Implications for KKLT
• Yukawa hierarchies at the point of $E_8$ in F-theory
• Fractional branes, warped compactifications and backreacted orientifold planes
• T-branes and ${\alpha }^{\prime }$-corrections
• Building SO(10) models from F-theory
• On quantum corrected Kähler potentials in F-theory
• Flux-induced Soft Terms on Type IIB/F-theory Matter Curves and Hypercharge Dependent Scalar Masses
• Completing the D7-brane local gaugino action
• Dynamics of warped flux compactifications with backreacting anti-branes
• The two faces of T-branes
• The String Origin of SUSY Flavor Violation
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• Moduli identification methods in Type II compactifications
• Symmetry Breaking Bulk Effects in Local D-brane Models
• Falling flavors in AdS/CFT
• On Chiral Mesons in AdS/CFT