Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry

We describe a model where breaking of W3 symmetry will lead to the emergence of time and subsequently of space. Surprisingly the simplest such models which lead to higher dimensional spacetimes are based on the four “magical” Jordan algebras of 3×3 Hermitian matrices with real, complex, quaternion a...

Full description

Bibliographic Details
Main Authors: J. Ambjørn, Y. Watabiki
Format: Article
Language:English
Published: Elsevier 2017-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317303258
Description
Summary:We describe a model where breaking of W3 symmetry will lead to the emergence of time and subsequently of space. Surprisingly the simplest such models which lead to higher dimensional spacetimes are based on the four “magical” Jordan algebras of 3×3 Hermitian matrices with real, complex, quaternion and octonion entries, respectively. The simplest symmetry breaking leads to universes with spacetime dimensions 3, 4, 6, and 10.
ISSN:0370-2693
1873-2445