Lowest-energy states in parity-transformation eigenspaces ofSO(N)spin chain

Tigran Hakobyan
2015 Nuclear Physics B  
We expand the symmetry of the open finite-size SO(N) symmetric spin chain to O(N). We partition its space of states into the eigenspaces of the parity transformations in the flavor space, generating the subgroup $Z_2^{\times(N-1)}$. It is proven that the lowest-energy states in these eigenspaces are nondegenerate and assemble in antisymmetric tensors or pseudotensors. At the valence-bond solid point, they constitute the $2^{N-1}$-fold degenerate ground state with fully broken
more » ... parity-transformation symmetry.
doi:10.1016/j.nuclphysb.2015.07.003 fatcat:5pjon7unqvh3bceqys72mgku2e