# Gauge anomalies of finite groups

@article{Gripaios2022GaugeAO, title={Gauge anomalies of finite groups}, author={Ben Gripaios}, journal={Physical Review D}, year={2022} }

Finite symmetry groups are ubiquitous in physics, e.g. for stabilizing particles such as the proton or dark matter, or for explaining the patterns of masses and mixings of quarks and leptons. The lore of quantum gravity says that they should be gauged and the lore of gauge symmetry says that they should be free of anomalies that can arise when they act on chiral fermions, at least if they are to be linearly realized in vacuo. The study of such anomalies was pioneered by Graham Ross in…

## 3 Citations

### Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

- Physics
- 2022

The neutrino sector oﬀers one of the most sensitive probes of new physics beyond the Standard Model of Particle Physics (SM). The mechanism of neutrino mass generation is still unknown. The observed…

### Anomalies of non-Abelian finite groups via cobordism

- MathematicsJournal of High Energy Physics
- 2022

We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of ‘anomaly interplay’, which uses functoriality of cobordism and…

## References

SHOWING 1-10 OF 21 REFERENCES

### Tri-bimaximal neutrino mixing from discrete symmetry in extra dimensions

- Physics, Mathematics
- 2005

### Character Theory of Finite Groups

- Mathematics
- 2010

1. (i) Suppose K is a conjugacy class of Sn contained in An; then K is called split if K is a union of two conjugacy classes of An. Show that the number of split conjugacy classes contained in An is…

### Phys

- Lett. B 260, 291
- 1991

### JHEP 08

- 003
- 2019