Superconformal Flavor Simplified

Abstract

A simple explanation of the flavor hierarchies can arise if matter fields interact with a conformal sector and different generations have different anomalous dimensions under the CFT. However, in the original study by Nelson and Strassler many supersymmetric models of this type were considered to be 'incalculable' because the R-charges were not sufficiently constrained by the superpotential. We point out that nearly all such models are calculable with the use of a-maximization. Utilizing this, we construct the simplest vector-like flavor models and discuss their viability. A significant constraint on these models comes from requiring that the visible gauge couplings remain perturbative throughout the conformal window needed to generate the hierarchies. However, we find that there is a small class of simple flavor models that can evade this bound.

43 pages, 1 figure; V3: small corrections and clarifications, references added

References in corpus (13)

• Dynamical SUSY Breaking in Meta-Stable Vacua
• Unification and Fermion Mass Structure
• Quark and lepton masses at the GUT scale including SUSY threshold corrections
• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
• Dynamical GUT breaking and mu-term driven supersymmetry breaking
• Holographic Grand Unification
• Naturally Flavorful Supersymmetry at the LHC
• SU(5) unification for Yukawas through SUSY threshold effects
• Simple Models of Superconformal Flavor
• Conformal Supersymmetry Breaking in Vector-like Gauge Theories
• Supersymmetric N=1 Spin(10) Gauge Theory with Two Spinors via a-Maximization
• The Phase Structure of Supersymmetric Sp(2N_c) Gauge Theories with an Adjoint
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Cited by in corpus (18)

• Bounds on 4D Conformal and Superconformal Field Theories
• Carving Out the Space of 4D CFTs
• Pieces of the Flavour Puzzle
• FCNC Effects in a Minimal Theory of Fermion Masses
• Current OPEs in Superconformal Theories
• Desensitizing Inflation from the Planck Scale
• Dynamical Supersymmetry Breaking, with Flavor
• Axion Quality from Superconformal Dynamics
• Flavour in supersymmetry: horizontal symmetries or wave function renormalisation
• A Hybrid Higgs
• Inverted Sparticle Hierarchies from Natural Particle Hierarchies
• An Attractor for Natural Supersymmetry
• Bounds on SCFTs from Conformal Perturbation Theory
• Metastable Vacua in Superconformal SQCD-like Theories
• Strong coupling, discrete symmetry and flavour
• Flavor structure from `canonical' Yukawa interactions and `emergent' kinetic terms
• The Phase Structure of Supersymmetric Sp(2N_c) Gauge Theories with an Adjoint
• Revisiting superparticle spectra in superconformal flavor models