4 citations · 6 across the 5 of their papers we have counts for
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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…
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…
Varieties of four-dimensional gauge theories
Ben Gripaios, Khoi Le Nguyen Nguyen
We use algebraic geometry to study the anomaly-free representations of an arbitrary gauge Lie algebra for 4-dimensional spacetime fermions. For irreducible representations, the pro…
Two-dimensional gauge anomalies and -adic numbers
Imogen Camp, Ben Gripaios, Khoi Le Nguyen Nguyen
We show how methods of number theory can be used to study anomalies in gauge quantum field theories in spacetime dimension two. To wit, the anomaly cancellation conditions for the…