9 papers
Extension of elementary -groups and its application in classification of groups of prime exponent
Zheyan Wan, Yu Ye, Chi Zhang
Let be a prime number and . We study finite groups with abelian derived subgroup and exponent in terms of group extension data and thei…
Higher Anomalies, Higher Symmetries, and Cobordisms III: QCD Matter Phases Anew
Zheyan Wan, Juven Wang
We explore QCD quark matter, the -T (chemical potential-temperature) phase diagram, possible 't Hooft anomalies, and topological terms, via non-perturbative tools of cobordi…
Higher Anomalies, Higher Symmetries, and Cobordisms II: Lorentz Symmetry Extension and Enriched Bosonic/Fermionic Quantum Gauge Theory
Zheyan Wan, Juven Wang, Yunqin Zheng
We systematically study Lorentz symmetry extensions in quantum field theories (QFTs) and their 't Hooft anomalies via cobordism. The total symmetry can be expressed in terms o…
Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms, and Dynamical Constraints via Cobordisms
Zheyan Wan, Juven Wang
We classify and characterize all invertible anomalies and all allowed topological terms related to various Standard Models (SM), Grand Unified Theories (GUT), and Beyond Standard M…
Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
Meng Guo, Kantaro Ohmori, Pavel Putrov +2
We formulate a family of spin Topological Quantum Filed Theories (spin-TQFTs) as fermionic generalization of bosonic Dijkgraaf-Witten TQFTs. They are obtained by gauging -equiva…
New Higher Anomalies, SU(N) Yang-Mills Gauge Theory and Sigma Model
Zheyan Wan, Juven Wang, Yunqin Zheng
We hypothesize a new and more complete set of anomalies of certain quantum field theories (QFTs) and then give an eclectic verification. First, we propose a set of 't Hooft higher…