Recently we had some discussion about if nonabelian gerbes are the right
language to talk about M5-branes:
The argument was that the coupling of the M-theory 3-form C_3 to the M2
In a recent paper
the author argues for the 2-gerbe description of C_3 and embeds the
He ends by saying:
vector bundles. What are the corresponding M-objects, i.e. the ones related
to G_4? Not surprisingly, we propose that they would be "2-objects", e.g.
2-gerbes, 2-vector bundles, ect... This will be discussed seperately.
What is the theory that we are looking for? From the general structure of
Regarding the part
> "2-objects", e.g. 2-gerbes, 2-vector bundlesof course I cannot resist to mention that 1-gerbes and 2-bundles are to a
good degree the same, as demonstrated in hep-th/0412325 in terms of cocycle
data. (There are however quite some subtleties in making this "to a good
degree" into a true equivalence of categories.) The rough idea is that a
2-bundle with certain base 2-space has a 1-gerbe of 2-sections.
The relation to elliptic cohomology and the entire stringy/categorified
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