Communications in Mathematical Physics

, Volume 298, Issue 2, pp 419–436

There is No “Theory of Everything” Inside E8

Article

DOI: 10.1007/s00220-010-1006-y

Cite this article as:
Distler, J. & Garibaldi, S. Commun. Math. Phys. (2010) 298: 419. doi:10.1007/s00220-010-1006-y

Abstract

We analyze certain subgroups of real and complex forms of the Lie group E8, and deduce that any “Theory of Everything” obtained by embedding the gauge groups of gravity and the Standard Model into a real or complex form of E8 lacks certain representation-theoretic properties required by physical reality. The arguments themselves amount to representation theory of Lie algebras in the spirit of Dynkin’s classic papers and are written for mathematicians.

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Theory Group, Department of Physics, and Texas Cosmology CenterUniversity of TexasAustinUSA
  2. 2.Department of Mathematics & Computer Science, 400 Dowman Dr.Emory UniversityAtlantaUSA