Corpus ID: 224704873

Fractonic order in infinite-component Chern-Simons gauge theories

@article{Ma2020FractonicOI,
  title={Fractonic order in infinite-component Chern-Simons gauge theories},
  author={Xiuqi Ma and Wilbur E. Shirley and Meng Cheng and Michael A. Levin and John McGreevy and Xie Chen},
  journal={arXiv: Strongly Correlated Electrons},
  year={2020}
}
2+1D multi-component $U(1)$ gauge theories with a Chern-Simons (CS) term provide a simple and complete characterization of 2+1D Abelian topological orders. In this paper, we extend the theory by taking the number of component gauge fields to infinity and find that they can describe interesting types of 3+1D "fractonic" order. "Fractonic" describes the peculiar phenomena that point excitations in certain strongly interacting systems either cannot move at all or are only allowed to move in a… Expand

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References

SHOWING 1-4 OF 4 REFERENCES
Twisted foliated fracton phases
In the study of three-dimensional gapped models, two-dimensional gapped states should be considered as a free resource. This is the basic idea underlying the notion of `foliated fracton order'Expand
Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
We extend our exploration of nonstandard continuum quantum field theories in 2+1 dimensions to 3+1 dimensions. These theories exhibit exotic global symmetries, a peculiar spectrum of charged states,Expand
In and around Abelian anyon models
Anyon models are algebraic structures that model universal topological properties in topological phases of matter and can be regarded as mathematical characterization of topological order in twoExpand
The integers 1, 4, 11, 29, etc. form a sequence known as the Lucas numbers