An article that we have written:
M-theory from the superpoint
Letters of Mathematical Physics, 2018
(arXiv:1702.01774, doi:10.1007/s11005-018-1110-z,
$\;\;$talk slides for Iberian Strings 2017,
$\;\;$talk slides for String Math 2017,
$\;\;$pdf slides and video recording from Higher Structures in M-theory 2018
$\;\;$ exposition arXiv:1903.02822 for the Proceedings)
Abstract: The “brane scan” classifies consistent Green-Schwarz superstrings and super-membranes in terms of the invariant cocycles on super-Minkowski spacetimes. The “brane bouquet” generalizes this by consecutively forming the invariant higher central extensions induced by these cocycles, which yields the complete brane content of string theory/M-theory, including the D-branes and the M5-brane, as well as the various duality relations between these. This raises the question whether the super-Minkowski spacetimes themselves arise as maximal invariant central extensions. Here we prove that they do. Starting from the simplest possible super-Minkowski spacetime, the superpoint, which has no Lorentz structure and no spinorial structure, we give a systematic process of consecutive maximal invariant central extensions, and show that it discovers the super-Minkowski spacetimes that contain superstrings, culminating in the 10- and 11-dimensional super-Minkowski spacetimes of string/M-theory and leading directly to the brane bouquet.
Lecture notes:
Related articles:
Super Lie n-algebra extensions, higher WZW models and super p-branes
T-Duality from super Lie n-algebra cocycles for super p-branes
all summed up in
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