76 citations · 275 across the 21 of their papers we have counts for
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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…
Topological Quantum Dark Matter via Global Anomaly Cancellation
Juven Wang
Standard Model (SM) with 15 Weyl fermions per family (lacking the 16th, the sterile right-handed neutrino ) suffers from mixed gauge-gravitational anomalies tied to baryon num…
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…
Categorical Symmetry of the Standard Model from Gravitational Anomaly
Pavel Putrov, Juven Wang
In the Standard Model, some combination of the baryon and lepton number symmetry is free of mixed anomalies with strong and electroweak $su(3) \times su(2) \times u…
CT or P Problem and Symmetric Gapped Fermion Solution
Juven Wang
An analogous "Strong CP problem" is identified in a toy model in 2-dimensional spacetime: a general 1+1d abelian U(1) anomaly-free chiral fermion and chiral gauge theory with a gen…
Cobordism and Deformation Class of the Standard Model
Juven Wang, Zheyan Wan, Yi-Zhuang You
't Hooft anomalies of quantum field theories (QFTs) with an invertible global symmetry G (including spacetime and internal symmetries) in a d spacetime are known to be classifie…
Gauge Enhanced Quantum Criticality Between Grand Unifications: Categorical Higher Symmetry Retraction
Juven Wang, Yi-Zhuang You
Prior work [arXiv:2106.16248] shows that the Standard Model (SM) naturally arises near a gapless quantum critical region between Georgi-Glashow (GG) and Pati-Salam (PS) $su…