Symmetry Breaking and the Metric

  • Thread starter Digs
  • Start date
  • #1
5
0
Hello,


im a first year phd student, and im reading http://arxiv.org/abs/0901.1847 right now in an attempt to figure out something cool to do with lie 3 algebras.

In the paper they mention that turning on a B field in the 1,2 dimensions breaks the SO(4) symmetry the theory has to SO(2)xSO(2), and as well the metric becomes diagonal, with some funny entries I don't recognize.

Why does the metric become diagonal? Also, why does the symmetry break to that?

THanks!
 

Answers and Replies

  • #2
525
7
I ain't no expert, but I think what they mean is that a diagonal form like that is allowed (as opposed to: the most general expression you can have). So with the residual symmetry group it's always possible to obtain such an expression for the metric.

Think of it as normal GR. In that case it's always possible to (locally) obtain the Minkowski metric.

That would be my best guess.
 

Related Threads on Symmetry Breaking and the Metric

Replies
2
Views
2K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
5
Views
4K
Replies
17
Views
4K
Replies
4
Views
1K
Replies
16
Views
2K
Replies
2
Views
1K
Replies
28
Views
10K
  • Last Post
Replies
3
Views
265
Top