$S{U}_2(\mathbb{C})$ symmetry in quantum spin chain ground states and Haldane's conjecture

Anilesh Mohari

In this paper, we prove that any translation and $SU_2(\IC)$-invariant pure state of $\IM=\otimes_{k \in \IZ}\!M^{(k)}_d(\IC)$, that is also real, lattice symmetric and reflection…