4.2 Article

M-theory from the superpoint

期刊

LETTERS IN MATHEMATICAL PHYSICS
卷 108, 期 12, 页码 2695-2727

出版社

SPRINGER
DOI: 10.1007/s11005-018-1110-z

关键词

M-theory; Rational homotopy theory; Cohomology of super Lie algebras; 81T30 (String and superstring theories; other extended objects); 55P62 (Rational homotopy theory); 17B56 (Cohomology of Lie (super)algebras)

资金

  1. Portuguese science foundation Grant [SFRH/BPD/92915/2013]
  2. [RVO:67985840]

向作者/读者索取更多资源

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 fundamental 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.

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