Can observation offer some hope to Garrett's theory, somehow

  • Thread starter MTd2
  • Start date

MTd2

Gold Member
2,028
25
http://arxiv.org/abs/1305.6946

The GraviGUT algebra is not a subalgebra of E8, but E8 does contain an Extended GraviGUT algebra

Andrew Douglas, Joe Repka
(Submitted on 29 May 2013)
The GraviGUT algebra is defined as the semidirect sum of spin(11,3) together with its positive chirality 64-dimensional irrep. Recently, Lisi constructed a particular embedding of the GraviGUT algebra into the quaternionic real form of E8. This is not a true Lie algebra embedding since the 64-dimensional irrep of spin(11,3) must be regarded merely as a subset of E8, and not a subalgebra of E8. We prove the stronger statement that the complexified GraviGUT algebra cannot be embedded into the complex algebra E8. We then modify Lisi's construction to create true Lie algebra embeddings of Extended GraviGUT algebras into E8. We classify these embeddings up to inner automorphism. We make no claims on the physical significance of the modified construction.
 

Want to reply to this thread?

"Can observation offer some hope to Garrett's theory, somehow" You must log in or register to reply here.

Related Threads for: Can observation offer some hope to Garrett's theory, somehow

Replies
20
Views
10K
Replies
1
Views
664
Replies
1
Views
775
Replies
72
Views
13K
Replies
21
Views
3K
Replies
67
Views
11K
Replies
2
Views
4K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top