Twisted Gauge Theory Model of Topological Phases in Three Dimensions

Yidun Wan Juven Wang Huan He

Mathematical Physics Theoretical Physics mathscidoc:1904.22006

Phys. Rev., 2015
We propose an exactly solvable lattice Hamiltonian model of topological phases in 3+1 dimensions, based on a generic finite group G and a 4-cocycle ω over G. We show that our model has topologically protected degenerate ground states and obtain the formula of its ground state degeneracy on the 3-torus. In particular, the ground state spectrum implies the existence of purely three-dimensional looplike quasi-excitations specified by two nontrivial flux indices and one charge index. We also construct other nontrivial topological observables of the model, namely the SL(3,Z) generators as the modular S and T matrices of the ground states, which yield a set of topological quantum numbers classified by ω and quantities derived from ω. Our model fulfills a Hamiltonian extension of the 3+1-dimensional Dijkgraaf-Witten topological gauge theory with a gauge group G. This work is presented to be accessible for a wide range of physicists and mathematicians.
No keywords uploaded!
[ Download ] [ 2019-04-19 10:12:15 uploaded by juvenwang ] [ 617 downloads ] [ 0 comments ]
@inproceedings{yidun2015twisted,
  title={Twisted Gauge Theory Model of Topological Phases in Three Dimensions},
  author={Yidun Wan, Juven Wang, and Huan He},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190419101215311771255},
  booktitle={Phys. Rev.},
  year={2015},
}
Yidun Wan, Juven Wang, and Huan He. Twisted Gauge Theory Model of Topological Phases in Three Dimensions. 2015. In Phys. Rev.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190419101215311771255.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved