International Scholarly Research Notices / 2013 / Article / Fig 20

Review Article

Topological Order: From Long-Range Entangled Quantum Matter to a Unified Origin of Light and Electrons

Figure 20

(a) The shear deformation of a torus generates a (projective) non-Abelian geometric phase , which is a generator of a projective representation modular transformation. The last shear-deformed torus is the same as the original torus after a coordinate transformation: , . (b) The squeezing deformation of a torus generates a (projective) non-Abelian geometric phase , which is the other generator of a projective representation modular transformation. The last squeeze-deformed torus is the same as the original torus after a coordinate transformation: , .
198710.fig.0020a
(a)
198710.fig.0020b
(b)