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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 30th 2009

    crated D'Auria-Fre formulation of supergravity

    there is a blog entry to go with this here

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeOct 4th 2009

    expanded the section on "rheonomy"

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 12th 2010
    • (edited Sep 12th 2010)

    I went through the entry D’Auria-Fre formulation of supergravity and edited a bunch of links, making them point to all the relevant entries on oo-Chern-Weil theory that we have created since the conception of this entry. Also polished up the notation here and there to bring it in line with what is now “standard” in the rest of the Lab.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 29th 2010
    • (edited Sep 29th 2010)

    i reorganized the entry D’Auria-Fre formulation of supergravity a bit in an attempt to polish it. Then I added a section on the “cosmo-cocycle”-condition and how it really defines a Chern-Simons element in the supergravity Lie 6-algebra.

    Finally I added a stub section “Examples” where I started writing out the cs-element = Lagrangian for 11d-supergravity, before running out of steam.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 12th 2013
    • (edited Sep 12th 2013)

    I have expanded the Idea section a bit, making the relation to higher Cartan geometry explicit (which is being mentioned in a bunch of nLab entries, but had previously not been added to this relatively old entry itself)

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 19th 2015

    when the nnLab is back, the entry D’Auria-Fre formulation of supergravity needs to be added a pointer to

    • Pietro Fre, Gravity, a Geometrical Course: Volume 2: Black Holes, Cosmology and Introduction to Supergravity, Springer 2012

    which, while not as detailed as the original Supergravity and Superstrings - A Geometric Perspective, includes discussion of new developments such as AdS/CFT in the special D’Auria-Fre formulation – also it’s still in print.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMay 29th 2020
    • (edited May 29th 2020)

    added pointer to today’s review

    diff, v85, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 9th 2022

    added pointer to today’s

    diff, v89, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 5th 2023

    added pointer to today’s:

    diff, v90, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeDec 14th 2023

    added pointer to today’s

    • S. Salgado, Non-linear realizations and invariant action principles in higher gauge theory [arXiv:2312.08285]

    diff, v92, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeFeb 15th 2024

    finally added pointer to:

    diff, v94, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeFeb 20th 2024

    added pointer to:

    • Lucrezia Ravera, Geometric approach to supergravity in superspace and some applications, lecture at Training school on Cartan Geometry, Masaryk University (Nov 2023) [video: YT]

    diff, v99, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeFeb 20th 2024

    added pointer to:

    diff, v99, current

    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeFeb 20th 2024
    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeFeb 22nd 2024
    • (edited Feb 23rd 2024)

    In Dec 2018 (revision 72) I had spelled out in the entry the argument for the rheonomy principle from CDF91 III.3, noticing at the end that there is a gap in the argument, since the RHS of the differential equation III.3.29 (p. 653) depends on dθ α¯d \theta^{\overline{\alpha}} not only through a contracted curvature, but also through a contracted vielbein field μ α¯\mu_{\overline{\alpha}}.

    Back then I had concluded with a paragraph indicating how this gap might be fixed.

    But revisiting the story now, I don’t think this can be fixed in generality, and I have now deleted my paragraph suggesting otherwise.

    It looks to me like the concluding sentence below their (III.3.29) is wrong as stated, it forgets about the dependence on μ α¯ B(x,0)\mu_{\overline{\alpha}}^B(x,0) evidently present in the line before, which is not given by the initial value data.

    Nevertheless, in the cases of interest things work out, one just needs a more careful argument…

    diff, v101, current

    • CommentRowNumber16.
    • CommentAuthorUrs
    • CommentTimeFeb 24th 2024
    • (edited Feb 24th 2024)

    added a section (here) on how the EoM of D=11D=11 sugra is implied by some simple superspace conditions.

    This section is !include-ed as a separate page, see the discussion there

    diff, v102, current

    • CommentRowNumber17.
    • CommentAuthorUrs
    • CommentTimeMar 1st 2024

    added pointer to further original articles:

    diff, v104, current

    • CommentRowNumber18.
    • CommentAuthorUrs
    • CommentTimeMar 2nd 2024

    added these pointers:

    diff, v105, current

    • CommentRowNumber19.
    • CommentAuthorUrs
    • CommentTimeMar 2nd 2024

    added “Regge” to the page name

    diff, v105, current

    • CommentRowNumber20.
    • CommentAuthorUrs
    • CommentTimeMar 2nd 2024
    • (edited Mar 2nd 2024)

    added also original pointers to the independent formulation of rheonomy via “superspace constraints”:

    diff, v105, current

    • CommentRowNumber21.
    • CommentAuthorUrs
    • CommentTimeMar 20th 2024

    added pointer to these early references, which seem to have been overlooked:

    diff, v115, current

    • CommentRowNumber22.
    • CommentAuthorUrs
    • CommentTimeApr 23rd 2024

    added pointer to today’s

    diff, v116, current