{"paper":{"title":"Spontaneous $SU_2(\\mathbb{C})$ symmetry breaking in the ground states of quantum spin chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Anilesh Mohari","submitted_at":"2005-09-21T22:08:41Z","abstract_excerpt":"In this paper, we have proved that there exists no translation invariant pure state of $\\mathbb{M}=\\otimes_{k \\in \\mathbb{Z}}\\!M^{(k)}_d(\\mathbb{C})$ that is real, lattice symmetric with a certain twist and $SU_2(\\mathbb{C})$ invariant for any even integer $d \\ge 2$. In particular, this result also says that the Heisenberg iso-spin anti-ferromagnetic model with ${1 \\over 2}$-odd integer spin degrees of freedom does not admit a unique ground state."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0509049","kind":"arxiv","version":7},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}