- #1
binbagsss
- 1,265
- 11
Hi , I'm looking at the argument in David Tongs notes (http://www.damtp.cam.ac.uk/user/tong/qhe/three.pdf) for ground state degeneracy on depending on the topology of the manifold (page 97, section 3.2.4).
I follow up to getting equation 3.31 but I'm stuck on the comment after : ' But such an algebra of operators can’t be realized on a single vacuum state.'
I have no idea where this comment comes from- (also I then don't understand the smallest representation comment, dimension m, and where the action comes from).
Any links to relevant background knowledge assumed to follow these comments of this section, or any help, would be greatly appreciated. many thanks.
I follow up to getting equation 3.31 but I'm stuck on the comment after : ' But such an algebra of operators can’t be realized on a single vacuum state.'
I have no idea where this comment comes from- (also I then don't understand the smallest representation comment, dimension m, and where the action comes from).
Any links to relevant background knowledge assumed to follow these comments of this section, or any help, would be greatly appreciated. many thanks.