477 citations · 2.6k across the 75 of their papers we have counts for
77 papers
Anomaly cancellation for two factors
Ben Gripaios, Khoi Le Nguyen Nguyen
We show that solving the abelian part of the local anomaly cancellation conditions for a 4-d gauge theory whose gauge Lie algebra has an abelian summand with rank is equ…
TQFTs do not detect the Milnor sphere
Ben Gripaios, Oscar Randal-Williams
We show that, under very general hypotheses, topological quantum field theories (TQFTs) cannot detect homotopy spheres bounding parallelisable manifolds, such as Milnor's exotic 7-…
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…
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…