177 citations · 2.4k across the 48 of their papers we have counts for
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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…
Non-Abelian Gauged Fracton Matter Field Theory: New Sigma Models, Superfluids and Vortices
Juven Wang, Shing-Tung Yau
By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-…
Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
Juven Wang, Yi-Zhuang You, Yunqin Zheng
We explore the low energy dynamics of the four siblings of Lorentz symmetry enriched SU(2) Yang-Mills theory with a theta term at in d. Due to a mixed anomaly between…
Higher-Rank Tensor Non-Abelian Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether's Theorem, and Gauging
Juven Wang, Kai Xu, Shing-Tung Yau
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordi…
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…
Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
Trithep Devakul, Wilbur Shirley, Juven Wang
We classify subsystem symmetry-protected topological (SSPT) phases in D protected by planar subsystem symmetries, which are dual to abelian fracton topological orders. We dist…
Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon
Juven Wang, Kai Xu
We formulate a new class of tensor gauge field theories in any dimension that is a hybrid class between symmetric higher-rank tensor gauge theory (i.e., higher-spin gauge theory) a…
Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory
Zheyan Wan, Juven Wang, Yunqin Zheng
We explore 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d gapped short/long-range entangled (SRE/LRE) topological states. Specifically, we explore 4d time-re…
Quantum Statistics and Spacetime Topology: Quantum Surgery Formulas
Juven Wang, Xiao-Gang Wen, Shing-Tung Yau
To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime m…