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Tunneling topological vacua via extended operators:(Spin-) TQFT spectra and boundary deconfinement in various dimensions

Juven Wang Kantaro Ohmori Pavel Putrov Yunqin Zheng Zheyan Wan Meng Guo Hai Lin Peng Gao Shing-Tung Yau

Theoretical Physics mathscidoc:1912.43610

Progress of Theoretical and Experimental Physics, 2018, (5), 053A01, 2018.5
Distinct quantum vacua of topologically ordered states can be tunneled into each other via extended operators. The possible applications include condensed matter and quantum cosmology. We present a straightforward approach to calculate the partition function on various manifolds and ground state degeneracy (GSD), mainly based on continuum/cochain topological quantum field theories (TQFTs), in any dimension. This information can be related to the counting of extended operators of bosonic/fermionic TQFTs. On the lattice scale, anyonic particles/strings live at the ends of line/surface operators. Certain systems in different dimensions are related to each other through dimensional reduction schemes, analogous to (de)categorification. Examples include spin TQFTs derived from gauging the interacting fermionic symmetry-protected topological states (with fermion parity \mathbb{Z}_2^f) of symmetry groups \mathbb{Z}_2^f and \mathbb{Z}_2^f in
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@inproceedings{juven2018tunneling,
  title={Tunneling topological vacua via extended operators:(Spin-) TQFT spectra and boundary deconfinement in various dimensions},
  author={Juven Wang, Kantaro Ohmori, Pavel Putrov, Yunqin Zheng, Zheyan Wan, Meng Guo, Hai Lin, Peng Gao, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204418821677174},
  booktitle={Progress of Theoretical and Experimental Physics},
  volume={2018},
  number={5},
  pages={053A01},
  year={2018},
}
Juven Wang, Kantaro Ohmori, Pavel Putrov, Yunqin Zheng, Zheyan Wan, Meng Guo, Hai Lin, Peng Gao, and Shing-Tung Yau. Tunneling topological vacua via extended operators:(Spin-) TQFT spectra and boundary deconfinement in various dimensions. 2018. Vol. 2018. In Progress of Theoretical and Experimental Physics. pp.053A01. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204418821677174.
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