6 papers
Anomaly of 4d Weyl fermions with discrete symmetries
Zheyan Wan
We derive explicit anomaly-index formulas for four-dimensional Weyl fermions charged under the finite symmetries Spin and Spin$\times_{\mathbb Z_2^{\mathrm F}}\m…
Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension
Zheyan Wan, Juven Wang, Shing-Tung Yau
Family puzzle asks why the Standard Model (SM) features exactly 3 families of quarks and leptons. Motivated by topological constraints, we study 4d fermionic anomalies with discret…
Anomalous (3+1)d Fermionic Topological Quantum Field Theories via Symmetry Extension
Zheyan Wan, Juven Wang
Discrete finite-group global symmetries may suffer from nonperturbative 't-Hooft anomalies. Such global anomalies can be canceled by anomalous symmetry-preserving topological quant…
C-R-T Fractionalization in the First Quantized Hamiltonian Theory
Yang-Yang Li, Zheyan Wan, Juven Wang +2
Recent research has revealed that the CRT symmetry for fermions exhibits a fractionalization distinct from the $\mathbb{Z}_2^{\mathcal{C}}\times\mathbb{Z}_2^{\mathcal{R}}\times\mat…
Topological Responses of the Standard Model Gauge Group
Zheyan Wan, Juven Wang, Yi-Zhuang You
The local Lie algebra of the Standard Model (SM) is , yet its global gauge group, SU(3)SU(2)U(1)/$\mathbb{Z}_{…
C-R-T Fractionalization, Fermions, and Mod 8 Periodicity
Zheyan Wan, Juven Wang, Shing-Tung Yau +1
Charge conjugation (C), mirror reflection (R), time reversal (T), and fermion parity are basic discrete spacetime and internal symmetries of the Dirac fermions. In t…