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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 16th 2011

    I have considerably expanded the entry sigma-model and will probably continue to do so in small steps in the nearer future (with interruptions). This goes in parallel with a discussion we are having on the nnCafé here.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 26th 2011

    I have now filled content into the section Chern-Simons theory as a σ\sigma-model at sigma-model . As with the previous sections, I am posting this to the nnCafé here.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 28th 2011
    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 6th 2011
    • (edited Jun 6th 2011)

    wrote a section string topology as a sigma-model – also posted this to the Café here

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2011

    Since the entry sigma-model would not save any more (too long) I have splitt off the Exposition-subsections as separate entries

    Then I expanded a little the second one of these, adding remarks on AKSZ theory.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 1st 2014
    • (edited Jul 1st 2014)

    added a pointer to Witten 08 here, where in section 6 is something that is meant as an explanation of the stack of G-connections for physicists.

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 22nd 2022

    Corrected the redirect “∞-model” to “σ-model”.

    diff, v74, current

    • CommentRowNumber8.
    • CommentAuthorperezl.alonso
    • CommentTimeOct 30th 2023

    pointers to Friedan’s original 2d renormalization articles.

    diff, v76, current

    • CommentRowNumber9.
    • CommentAuthorperezl.alonso
    • CommentTimeOct 30th 2023

    General exposition of nn-dimensional σ\sigma-models, including the fact that these are non-renormalizable for n3n\geq 3:

    • Christopher Hull. “Lectures on Non-Linear Sigma-Models and Strings”. In Super field theories, pp. 77-168. Boston, MA: Springer US, 1987.

    diff, v76, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeOct 30th 2023
    • CommentRowNumber11.
    • CommentAuthorperezl.alonso
    • CommentTimeNov 10th 2023

    Added reference:

    • Rafał R. Suszek. Towards higher super-σ\sigma-model categories. (2023). (arXiv:2311.01768).

    (as a sidenote, since this is a paper about super-σ\sigma-models on gerbes, WZW models, and mentions prequantization a couple of times, it’s missing some obvious references…)

    diff, v78, current