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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…
Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
Xiao-Gang Wen
In this paper, we systematically study gauge anomalies in bosonic and fermionic weak-coupling gauge theories with gauge group G (which can be continuous or discrete). We show a ver…
Majorana Zero-modes and Topological Phases of Multi-flavored Jackiw-Rebbi model
Shih-Hao Ho, Feng-Li Lin, Xiao-Gang Wen
Motivated by the recent Kitaev's K-theory analysis of topological insulators and superconductors, we adopt the same framework to study the topological phase structure of Jackiw-Reb…
Quantum ether: photons and electrons from a rotor model
Michael Levin, Xiao-Gang Wen
We give an example of a purely bosonic model -- a rotor model on the 3D cubic lattice -- whose low energy excitations behave like massless U(1) gauge bosons and massless Dirac ferm…
A dual gravity study of the 2+1D compact U(1) gauge theory coupled with strongly interacting matter fields
Sung-Sik Lee, Xiao-Gang Wen
We consider the D2-brane probe action in the gravity background dual to N coincident Dp-branes by treating the separation between the D2- and Dp-branes as a nondynamical parameter…
Quantum order from string-net condensations and origin of light and massless fermions
Xiao-Gang Wen
Recently, it was pointed out that quantum orders and the associated projective symmetry groups can produce and protect massless gauge bosons and massless fermions in local bosonic…
Origin of Light
Xiao-Gang Wen
The existence of light (a massless U(1) gauge boson) is one of unresolved mysteries in nature. In this paper, we would like to propose that light is originated from certain quantum…
The Ground State Structure and Modular Transformations of Fractional Quantum Hall States on a Torus
Esko Keski-Vakkuri, Xiao-Gang Wen
The structure of ground states of generic FQH states on a torus is studied by using both effective theory and electron wave function. The relation between the effective theory and…