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The Algebra of Grand Unified Theories | | John C. Baez
; John Huerta
; | | Date: |
9 Apr 2009 | | Abstract: | The Standard Model of particle physics 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) x SU(2) x SU(3) to a larger group. These
three theories 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) x SU(2) x
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. | | Source: | arXiv, 0904.1556 | | Services: | Forum | Review | PDF | Favorites | |
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