Skip to main content
eScholarship
Open Access Publications from the University of California

The algebra of grand unified theories

  • Author(s): Baez, J
  • Huerta, J
  • et al.

Published Web Location

http://arxiv.org/abs/0904.1556
No data is associated with this publication.
Abstract

The Standard Model is the best tested and most widely accepted theory of elementary particles we have today. It may seem complicated and arbitrary, but it has hidden patterns that are revealed by the relationship between three "grand unified theories": theories that unify forces and particles by extending the Standard Model symmetry group U(1) × SU(2) × SU(3) to a larger group. These three are Georgi and Glashow's SU(5) theory, Georgi's theory based on the group Spin(10), and the Pati-Salam model based on the group SU(2) × SU(2) × SU(4). In this expository account for mathematicians, we explain only the portion of these theories that involves finite-dimensional group representations. This allows us to reduce the prerequisites to a bare minimum while still giving a taste of the profound puzzles that physicists are struggling to solve. © 2010.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Item not freely available? Link broken?
Report a problem accessing this item