Anomaly Cancellation and Conformality in Quiver Gauge Theories

Abstract

Abelian quiver gauge theories provide nonsupersymmetric candidates for the conformality approach to physics beyond the standard model. Written as $\mathcal{N}=0$, $U(N{)}^n$ gauge theories, however, they have mixed $U(1{)}_{p}U(1{)}_q^2$ and $U(1{)}_{p}SU(N{)}_q^2$ triangle anomalies. It is shown how to construct explicitly a compensatory term $\Delta {\mathcal{L}}_{comp}$ which restores gauge invariance of ${\mathcal{L}}_{eff}=\mathcal{L}+\Delta {\mathcal{L}}_{comp}$ under $U(N{)}^n$. It can lead to a negative contribution to the U(1) $\beta$-function and hence to one-loop conformality at high energy for all dimensionless couplings.

arXiv comment15 pages. minor clarifications

References in corpus (11)

• Gauge Theory Correlators from Non-Critical String Theory
• D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model
• Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
• Conformality from Field-String Duality on Abelian Orbifolds
• Deconstructed U(1) and Supersymmetry Breaking
• Conformal N=0 d=4 Gauge Theories from AdS/CFT Superstring Duality?
• Conformality and Gauge Coupling Unification
• ADS/CFT String Duality and Conformal Gauge Field Theories
• Strong-Electroweak Unification at About 4 TeV
• AdS/CFT Correspondence and QCD with Quarks in Fundamental Representations
• Chiral Fermions and Quadratic Divergences

Cited by in corpus (6)

• Quiver Gauge Theory and Conformality at the TeV Scale
• Minimal Pati-Salam Model from String Theory Unification
• Dark Matter Candidate from Conformality
• Proton Decay Constraints on Low Scale AdS/CFT Unification
• Proton Decay in Teravolt Unification
• Particle phenomenology and Maldacena