Not signed in (Sign In)

Start a new discussion

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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 11th 2014
    • (edited May 11th 2014)

    started a minimum at M-wave

    (I was after the kind of statement as cited by Chu-Isono there, but have added now a minimum of the background literature, too).

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 1st 2018

    added pointer to Townsend 97.

    Is there a reference that discusses M-waves at /2\mathbb{Z}/2-singularities in analogy to how Witten 95 discusses M5-branes at /2\mathbb{Z}/2-singularities?

    diff, v4, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 1st 2018

    At M-wave it refers to duality between M-theory and type IIA string theory which directs to the ’duality in string theory’ page. There’s no explicit mention of M-theory/type IIA string theory duality there.

    Elsewhere F-branes – table has double dimension reduction relating them. Is this is what is being referred to?

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 1st 2018

    okay, I have started a bare minimum at duality between M-theory and type IIA string theory. No time for more at the moment.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2018
    • (edited May 2nd 2018)

    Is there a reference that discusses M-waves at /2\mathbb{Z}/2-singularities in analogy to how Witten 95 discusses M5-branes at /2\mathbb{Z}/2-singularities?

    I found discussion of the relevant orbifolds, locally of the form mathbrR 1,1×( 9 refl 2)\mathbr{R}^{1,1} \times (\mathbb{R}^9 \sslash_{refl} \mathbb{Z}_2) on p. 11-12 of

    but the relation to the M-wave seems not to be made there.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2018

    Added pointer to Philip 05, p. 94 which, thankfully, makes fully explicit that the spinor-to-vector pairing on the M-wave hits precisely just one of the two light-rays.

    diff, v6, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2018

    This here gets at least very close to what I was asking for above: BPST 09, bottom of p. 13 (added the pointer) argues that the M-wave may intersect a black M2 at ADE-singularities

    diff, v6, current

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 2nd 2018

    If D0 branes can form condensates (to form an extra circular direction), can M-waves?

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2018
    • (edited May 2nd 2018)

    By remark 3.11 in arXiv:1308.5264, one precise interpretation of “brane condensation” is: passage to the homotopy fiber of the cocycle that corresponds to the given brane.

    Moreover, by an unpublished result, an M-wave, being a “black brane” instead of a “fundamental brane”, is not itself given by a cocycle, but instead is part of the data of a real equivariant enhancement of the cocycle corresponding to the “fundamental” M2/M5-branes in rational super cohomotopy in degree 4.

    Hence there is no M-wave cocycle by itself, but there is a cocycle that embodies some kind of unity of the fundamental M2, the fundamental M5 and the M-wave.

    Of that cocycle one could now compute the homotopy fiber! Namely in the corresponding homotopy theory of GSuperSpaces G SuperSpaces_{\mathbb{R}}, for G= 2G = \mathbb{Z}_2 acting such as to have codimension 9 fixed points.

    That might be interesting to compute! But I have not looked into it yet.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTime6 days ago
    • (edited 6 days ago)

    prodded by acceptance of our ADE-article I am completing and cleaning up some referencing, here I just added these two pointers for the M-orientifold version of the M-wave:

    diff, v8, current

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)