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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 16th 2012
    • (edited Jan 16th 2012)

    I have added to M5-brane a fairly detailed discussion of the issue with the fractional quadratic form on differential cohomology for the dual 7d-Chern-Simons theory action (from Witten (1996) with help of Hopkins-Singer (2005)).

    In the new section Conformal blocks and 7d Chern-Simons dual.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 16th 2012

    I have now added the discussion of this effect more generally to the entry higher dimensional Chern-Simons theory in a new subsection Background charges and square root action functionals.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 20th 2015
    • (edited Jun 20th 2015)

    With Domenico Fiorenza and Hisham Sati we are finalizing a note on The WZW term of the M5-brane (schreiber).

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 20th 2017
    • (edited Dec 21st 2017)

    Which section of the references should this go?:

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeDec 20th 2017

    I don’t think that’s the correct link

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 21st 2017

    Oh yes, thanks, I’ve changed it to the right one.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 21st 2017
    • (edited Dec 21st 2017)

    I have added it to the end of References – Worldvolume theory.

    This deserves more discussion. But later.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeMay 1st 2018
    • (edited May 1st 2018)

    added pointer to Witten 95, about identifying the 𝒩=(2,0)\mathcal{N} =(2,0) black M5 at a transversal 5 2\mathbb{R}^5 \sslash \mathbb{Z}_2-orbifold singularitiy.

    Removed the pointer to section 8.3 of “Half-BPS M2-brane orbifolds”. Closer inspection shows that the thing classified there is really the MK6, not the M5. I’ll give more details on the subtleties in a few days.

    diff, v50, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2019

    added a section on anomaly cancellation (here) – currently this is identical with the corresponding section at I8, just copied over

    diff, v56, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMar 26th 2019

    highlighted another subtlety in the computation of the M5 anomaly cancellation, and added further pointers to the literature (same edits also at I8)

    diff, v59, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeMar 26th 2019

    I don’t understand that the term G W 2G_W^2 in (3.7) of arXiv:1310.2250 should be there.

    I understand that in non-rational cohomology there is an extra torsion contribution on top of LL, and that’s discussed in section 4 of arXiv:1110.4639. But in rational cohomology there should just remain the LL-term in that (3.7), and then, it seems to me, there is lacking a condition/reason for the term with G W 2G_W^2 to vanish in rational cohomology.

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