• Support PF! Buy your school textbooks, materials and every day products Here!

Question about spinors and gamma-matrices

  • #1
I'm working on a realisation of an exceptional group. I'm having some troubles with spinors. Here goes:

Given a Weyl-spinor of so(6,6) (let's say the chiral one). Under the decomposition of so(6,6) into so(5,5) + u(1), what does the spinor split into? Two different Weyl-spinors (of so(5,5)) of the same chirality or two spinors of opposite chirality?

I tried to use LiE to compute the branching rule for the spinor of so(6,6) to so(5,5) + u(1) but it did not work since so(5,5) + u(1) is not a maximal subalgebra of so(6,6). Maybe someone knows how to compute branchings into other than maximal subalgebras in LiE?

Does anyone have a good reference on gamma-/sigma-matrices? I would like a general treatment for arbitrary signature and dimension.

Thanks in advance,
//ulrik
 

Answers and Replies

Related Threads on Question about spinors and gamma-matrices

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
5
Views
8K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
2
Views
886
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
0
Views
1K
Top