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hep-th2025
Anomaly cancellation for a factor
Ben Gripaios, Khoi Le Nguyen Nguyen
We use methods of arithmetic geometry to find solutions to the abelian local anomaly cancellation equations for a four-dimensional gauge theory whose Lie algebra has a single $\mat…
hep-th2025
The asymptotically-free gauge theories
Ben Gripaios, Khoi Le Nguyen Nguyen
We show how to classify the asymptotically-free gauge theories in four spacetime dimensions, focussing here on the case of purely fermionic matter. The classification depends on th…
hep-th2025
More varieties of 4-d gauge theories: product representations
Ben Gripaios, Khoi Le Nguyen Nguyen
Recently, we used methods of arithmetic geometry to study the anomaly-free irreducible representations of an arbitrary gauge Lie algebra. Here we generalize to the case of products…