1. Operator Dimension Parity Fractionalization
- Author
-
Murphy, Christopher W.
- Subjects
High Energy Physics - Theory ,High Energy Physics - Phenomenology - Abstract
Lorentz invariant quantum field theories (QFTs) in four spacetime dimensions (4D) have a $\mathbb{Z}_4$ symmetry provided there exists a basis of operators in the QFT where all operators have even operator dimension, $d$, including those with $d > 4$. The $\mathbb{Z}_4$ symmetry is the extension of operator dimension parity by fermion number parity. If the $\mathbb{Z}_4$ is anomaly-free, such QFTs can be related to 3D topological superconductors. Additionally, imposing the $\mathbb{Z}_4$ symmetry on the Standard Model effective field theory severely restricts the allowed processes that violate baryon and lepton numbers., Comment: 7 pages + references, 1 figure
- Published
- 2024