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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).
added pointer to Townsend 97.
Is there a reference that discusses M-waves at $\mathbb{Z}/2$-singularities in analogy to how Witten 95 discusses M5-branes at $\mathbb{Z}/2$-singularities?
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?
okay, I have started a bare minimum at duality between M-theory and type IIA string theory. No time for more at the moment.
Is there a reference that discusses M-waves at $\mathbb{Z}/2$-singularities in analogy to how Witten 95 discusses M5-branes at $\mathbb{Z}/2$-singularities?
I found discussion of the relevant orbifolds, locally of the form $\mathbr{R}^{1,1} \times (\mathbb{R}^9 \sslash_{refl} \mathbb{Z}_2)$ on p. 11-12 of
but the relation to the M-wave seems not to be made there.
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.
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
If D0 branes can form condensates (to form an extra circular direction), can M-waves?
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Moreover, by an unpublished result, an M-wave, being a “black brane” instead of a “fundamental brane”, is not itself given by a cocycle, but instead is part of the data of a real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 $G SuperSpaces_{\mathbb{R}}$, for $G = \mathbb{Z}_2$ acting such as to have codimension 9 fixed points.
That might be interesting to compute! But I have not looked into it yet.
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:
Amihay Hanany, Barak Kol, section 3.3 of On Orientifolds, Discrete Torsion, Branes and M Theory, JHEP 0006 (2000) 013 (arXiv:hep-th/0003025)
John Huerta, Hisham Sati, Urs Schreiber, Prop. 4.7 of Real ADE-equivariant (co)homotopy and Super M-branes, Comm. Math. Phys. 2019 (arXiv:1805.05987)
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