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- W1565003336 abstract "We show that there is a topological (Berry phase) term in the non-linear $sigma$ model description of the SO(5) spin chain. It distinguishes the linear and projective representations of the SO(5) symmetry group, in exact analogy to the well-known $theta$-term of the SO(3) spin chain. The presence of the topological term is due to the fact that $pi_2(frac{SO(5)}{SO(3)times SO(2)})= mathbb{Z}$. We discuss the implication of our results on the spectra of the SO(5) spin chain, and connect it with a recent solvable SO(5) spin model which exhibits valence bond solid ground state and edge degeneracy." @default.
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- W1565003336 date "2011-05-01" @default.
- W1565003336 modified "2023-10-16" @default.
- W1565003336 title "Topological term in the non-linear σ model of the spin chains" @default.
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- W1565003336 doi "https://doi.org/10.1016/j.nuclphysb.2011.01.010" @default.
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