# Non-Abelian anomalies in multi-Weyl semimetals

@article{Dantas2020NonAbelianAI,
title={Non-Abelian anomalies in multi-Weyl semimetals},
author={Renato M. A. Dantas and Francisco Pe{\~n}a-Benitez and Bitan Roy and Piotr Sur'owka},
journal={Physical Review Research},
year={2020}
}
• Published 6 May 2019
• Physics
• Physical Review Research
We construct the effective field theory for time-reversal symmetry breaking multi-Weyl semimetals (mWSMs), composed of a single pair of Weyl nodes of (anti-)monopole charge $n$, with $n=1,2,3$ in crystalline environment. From both the continuum and lattice models, we show that a mWSM with $n>1$ can be constructed by placing $n$ flavors of linearly dispersing simple Weyl fermions (with $n=1$) in a bath of an $SU(2)$ non-Abelian static background gauge field. Such an $SU(2)$ field preserves…

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