{"id":152567,"date":"2001-10-01T00:00:00","date_gmt":"2001-10-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/a-magnetic-model-with-a-possible-chern-simons-phase\/"},"modified":"2018-10-16T20:03:56","modified_gmt":"2018-10-17T03:03:56","slug":"a-magnetic-model-with-a-possible-chern-simons-phase","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/a-magnetic-model-with-a-possible-chern-simons-phase\/","title":{"rendered":"A Magnetic Model with a Possible Chern-Simons Phase"},"content":{"rendered":"<div class=\"asset-content\">\n<p>The effect of perturbation is studied algebraically: the ground state space G\u25e6,\u0002 of H\u25e6,\u0002 is described as a surface algebra and our ansatz is that perturbation should respect this structure yielding a perturbed ground state G\u0006,\u0002 described by a quotient algebra. By classification, this implies G\u0006,\u0002 \u223c= DE\u0003. The fundamental point is that nonlinear structures may be present on degenerate eigenspaces of an initial H\u25e6 which constrain the possible effective action of a perturbation.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The effect of perturbation is studied algebraically: the ground state space G\u25e6,\u0002 of H\u25e6,\u0002 is described as a surface algebra and our ansatz is that perturbation should respect this structure yielding a perturbed ground state G\u0006,\u0002 described by a quotient algebra. By classification, this implies G\u0006,\u0002 \u223c= DE\u0003. The fundamental point is that nonlinear structures [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"michaelf","user_id":"32903"}],"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"MSR-TR-2001-84","msr_organization":"","msr_pages_string":"71","msr_page_range_start":"71","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"","msr_doi":"","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"","msr_other_contributors":"","msr_speaker":"","msr_award":"","msr_affiliation":"","msr_institution":"Microsoft 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