6 citations · 9 across the 5 of their papers we have counts for
5 papers
Monopoles, vortices and kinks in the framework of non-commutative geometry
Edward Teo, Christopher Ting
Non-commutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle correspo…
Mutual statistics, braid group, and the fractional quantum Hall effect
C. Ting
We show that the notion of mutual statistics arises naturally from the representation theory of the braid group over the multi-sheeted surface. A Hamiltonian which describes partic…
Duality in Multi-layered Quantum Hall Systems
C. Ting
The braid group dynamics captures the fractional quantum Hall effect (FQHE) as a manifestation of puncture phase. When the dynamics is generalized for particles on a multi-sheeted…
c = 1 conformal field theory and the fractional quantum Hall effect
Christopher Ting, C. H. Lai
We examine the application of conformal field theory to the description of the fractional quantum Hall effect (FQHE). It is found that the Gaussian model together with an app…
Spinning Braid Group Representation and the Fractional Quantum Hall Effect
Christopher Ting, C. H. Lai
The path integral approach to representing braid group is generalized for particles with spin. Introducing the notion of {\em charged} winding number in the super-plane, we represe…