Theory of twist liquids: Gauging an anyonic symmetry |
| |
Authors: | Jeffrey C.Y. Teo Taylor L. Hughes Eduardo Fradkin |
| |
Affiliation: | 1. Department of Physics, University of Virginia, VA 22904, USA;2. Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana–Champaign, 1110 West Green Street, Urbana, IL 61801-3080, USA |
| |
Abstract: | Topological phases in (2+1)-dimensions are frequently equipped with global symmetries, like conjugation, bilayer or electric–magnetic duality, that relabel anyons without affecting the topological structures. Twist defects are static point-like objects that permute the labels of orbiting anyons. Gauging these symmetries by quantizing defects into dynamical excitations leads to a wide class of more exotic topological phases referred as twist liquids , which are generically non-Abelian. We formulate a general gauging framework, characterize the anyon structure of twist liquids and provide solvable lattice models that capture the gauging phase transitions. We explicitly demonstrate the gauging of the Z2-symmetric toric code, SO(2N)1 and SU(3)1 state as well as the S3-symmetric SO(8)1 state and a non-Abelian chiral state we call the “4-Potts” state. |
| |
Keywords: | Topological phases of matter Topological field theory Anyon |
本文献已被 ScienceDirect 等数据库收录! |
|