There is No “Theory of Everything” Inside E8

被引：0
|
作者：
Jacques Distler
Skip Garibaldi
机构：
[1] University of Texas,Theory Group, Department of Physics, and Texas Cosmology Center
[2] Emory University,Department of Mathematics & Computer Science, 400 Dowman Dr.
来源：
Communications in Mathematical Physics | 2010年 / 298卷
关键词：
Gauge Theory; Gauge Group; Irreducible Representation; Conjugacy Class; Simple Root;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：419 / 436
页数：17
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