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nLab > Latest Changes: Walker-Wang model

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 4th 2013
    • (edited Oct 11th 2013)

    created stub entry for Walker-Wang model

    • CommentRowNumber2.
    • CommentAuthorxgwen
    • CommentTimeOct 11th 2013
    I corrected the entry to Walker-Wang model
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 11th 2013
    • (edited Oct 11th 2013)

    Woops, that’s an embarrassing mistake of mine. Thanks for correcting this.

  4. The low-energy TQFT of the Walker-Wang model is expected to be the Crane-Yetter model, not the Yetter model: see https://mathoverflow.net/questions/194570.

    Arun Debray

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 8th 2018

    Thanks Arun.

    It would be good if someone in the know could say something more about the relationship. The MO question has Walker say in response:

    the Walker-Wang model is related to the Crane-Yetter-Kauffman TQFT in the same way the Levin-Wen model is related to the Turaev-Viro TQFT.

    So this is the difference between state sum/partition function and Hamiltonian approaches, it seems. I can add that at least.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 23rd 2021

    added publication data to:

    diff, v6, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMay 23rd 2021

    added publication data to:

    • C. W. von Keyserlingk, F. J. Burnell, Steven H. Simon, Three-dimensional topological lattice models with surface anyons, Phys. Rev. B 87, 045107 ([arXiv:1208.5128] (http://arxiv.org/abs/1208.5128), doi:10.1103/PhysRevB.87.045107)

    diff, v7, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeMay 23rd 2021

    added a bunch of references relating to topological phases of matter and to topological quantum computation

    diff, v7, current

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