Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

Atrium > Mathematics, Physics & Philosophy: "Introduction to higher supergeometry"

Bottom of Page

1 to 6 of 6

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 2nd 2018
    • (edited Aug 2nd 2018)

    I am preparing slides for a 90 min lecture

    for the upcoming Durham Symposium ’Higher Structures in M-Theory’.

    This is geared towards an audience of mathematically inclined string theorists. Accordingly, it starts with a lightning introduction to category theory and higher topos theory, from a perspective that should appeal to string theoretically minded people. We’ll see how that works out…

    As usual, there is more in the slides than I plan to say out loud. Notably all of section 6) “Emergence of M-theory” will not actually fit into the lecture, but might serve as material in a moonshine session for an inner circle.

    It’s still a little rough here and there, but should be readable. Comments are welcome.

    (On my system, I go full screen at 133% resolution, then page-down keystrokes exactly give me a slide show. )

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 4th 2018
    • (edited Aug 4th 2018)

    which the is linear dual of the super Lie bracket

    …

    If we think of super Minkowski spacetime R d−1,1|MR^{d-1,1|M}

    Then you have NN.

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 4th 2018

    nn-dimension genralization

    and just before ’4) Higher super geometry’ there is

    db=μ 2d b = \mu_2

    which should be db=μ p+2d b = \mu_{p+2}

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 4th 2018

    Thanks!! All fixed now.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 4th 2018

    restricts to the the

    In ’tower of universal higher central extensions of L-∞ algebras’, could one include 𝔰𝔭𝔦𝔫\mathfrak{spin}?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeAug 16th 2018

    Sorry for the belated reply, had missed your last message.

    could one include 𝔰𝔭𝔦𝔫\mathfrak{spin}

    The thing is that as Lie algebras 𝔰𝔭𝔦𝔫≃𝔰𝔬\mathfrak{spin} \simeq \mathfrak{so}, due to the fact that the central extension Spin→SOSpin \to SO is by a discrete group (ℤ/2\mathbb{Z}/2) and hence invisible to Lie algebras

1 to 6 of 6

  1.