177 citations · 2.4k across the 48 of their papers we have counts for
19 papers · 1 filter
C-P-T Fractionalization
Juven Wang
Discrete spacetime symmetries of parity P or reflection R, and time-reversal T, act naively as -involutions in the passive transformation on the spacetime coordinates…
Gauge Enhanced Quantum Criticality Beyond the Standard Model
Juven Wang, Yi-Zhuang You
Standard lore views our 4d quantum vacuum governed by one of the candidate Standard Models (SMs), while lifting towards some Grand Unification-like structure (GUT) at higher energy…
Ultra Unification
Juven Wang
Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a…
Anomaly and Cobordism Constraints Beyond Grand Unification: Energy Hierarchy
Juven Wang
A recent work [2006.16996] suggests that a 4d nonperturbative global anomaly of mod 16 class hinting a possible new hidden gapped topological sector beyond the Standard Model (SM)…
Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
Juven Wang
Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism class…
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…
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…
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…
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…
Higher Anomalies, Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory
Zheyan Wan, Juven Wang
By developing a generalized cobordism theory, we explore the higher global symmetries and higher anomalies of quantum field theories and interacting fermionic/bosonic systems in co…
Adjoint QCD, Deconfined Critical Phenomena, Symmetry-Enriched Topological Quantum Field Theory, and Higher Symmetry-Extension
Zheyan Wan, Juven Wang
Recent work explores the candidate phases of the 4d adjoint quantum chromodynamics (QCD) with an SU(2) gauge group and two massless adjoint Weyl fermions. Both Cordova-Dumitres…
A New SU(2) Anomaly
Juven Wang, Xiao-Gang Wen, Edward Witten
A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more gene…
A Non-Perturbative Definition of the Standard Models
Juven Wang, Xiao-Gang Wen
The Standard Models contain chiral fermions coupled to gauge theories. It has been a long-standing problem to give such gauged chiral fermion theories a quantum non-perturbative de…
Schrodinger Fermi Liquids
Juven Wang
A class of strongly interacting many-body fermionic systems in 2+1D non-relativistic conformal field theory is examined via the gauge-gravity duality correspondence. The 5D charged…
Towards a Non-Relativistic Holographic Superfluid
Allan Adams, Juven Wang
We explore the phase structure of a holographic toy model of superfluid states in non-relativistic conformal field theories. At low background mass density, we find a familiar seco…