Quantum Gravity and String Theory

   

A Chern-Simons E8 Gauge Theory of Gravity in D = 15, Grand Unification and Generalized Gravity in Clifford Spaces

Authors: Carlos Castro

A novel Chern-Simons E8 gauge theory of gravity in D = 15 based on an octic E8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern-Simons E8 gauge theory. We review the construction showing why the ordinary 11D Chern-Simons gravity theory (based on the Anti de Sitter group) can be embedded into a Clifford-algebra valued gauge theory and that an E8 Yang-Mills field theory is a small sector of a Clifford (16) algebra gauge theory. An E8 gauge bundle formulation was instrumental in understanding the topological part of the 11-dim M-theory partition function. The nature of this 11-dim E8 gauge theory remains unknown. We hope that the Chern-Simons E8 gauge theory of gravity in D = 15 advanced in this work may shed some light into solving this problem after a dimensional reduction.

Comments: 19 Pages. This article appeared in the International Journal of Geometric Methods in Modern Physics Vol. 4, No. 8 (2007) 12391257.

Download: PDF

Submission history

[v1] 14 Sep 2009

Blog Trackbacks

Einstein vs Teoria Conectada: Las Transformaciones Relacionales [posted October 20, 2009]

Unique-IP document downloads: 165 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus