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26 April 2024 |
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M-theory from the Superpoint | | John Huerta
; Urs Schreiber
; | | Date: |
6 Feb 2017 | | 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 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. | | Source: | arXiv, 1702.1774 | | Services: | Forum | Review | PDF | Favorites | |
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