M-theory from the Superpoint

John Huerta; Urs Schreiber

doi:10.1007/s11005-018-1110-z

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arXiv · 1702.01774

M-theory from the Superpoint

John Huerta·Urs Schreiber

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Abstract

The "brane scan" classifies consistent Green--Schwarz strings and 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/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 repeated "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.

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John Huerta, Urs Schreiber. 2018-06-25. M-theory from the Superpoint. https://doi.org/10.1007/s11005-018-1110-z

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