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Anomaly Cancellation and Conformality in Quiver Gauge Theories

Edoardo Di Napoli·Paul H. Frampton
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Abstract

Abelian quiver gauge theories provide nonsupersymmetric candidates for the conformality approach to physics beyond the standard model. Written as ${\cal N}=0$, $U(N)^n$ 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 $Δ{\cal L}_{comp}$ which restores gauge invariance of ${\cal L}_{eff} = {\cal L} + Δ{\cal L}_{comp}$ under $U(N)^n$. It can lead to a negative contribution to the U(1) $β$-function and hence to one-loop conformality at high energy for all dimensionless couplings.

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Edoardo Di Napoli, Paul H. Frampton. 2006-04-05. Anomaly Cancellation and Conformality in Quiver Gauge Theories. https://doi.org/10.1016/j.physletb.2006.04.056

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