Lowest-energy states in parity-transformation eigenspaces of SO(N) spin chain
arXiv:1412.8177 · doi:10.1016/j.nuclphysb.2015.07.003
Abstract
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 . 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 -fold degenerate ground state with fully broken parity-transformation symmetry.
11 pages, final version
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