4.2 Article

M-theory from the superpoint

Journal

LETTERS IN MATHEMATICAL PHYSICS
Volume 108, Issue 12, Pages 2695-2727

Publisher

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

Keywords

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)

Funding

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

Ask authors/readers for more resources

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.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.2
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available