{"corpus_id":15172930,"paper_sha":"6a31911105e4d91b7e3ab020d825c3417e9a9ef2","doi":null,"arxiv_id":"hep-th/9705018","pmid":null,"pmcid":null,"mag_id":1671761671,"dblp_id":null,"acl_id":null,"title":"On charged fields with group symmetry and degeneracies of Verlinde's matrix S*","year":1997,"publication_date":"1997-05-05","venue":"","journal":{"name":"Annales De L Institut Henri Poincare-physique Theorique","pages":"359-394","volume":"71"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":[],"reference_count":51,"citation_count":26,"influential_citation_count":6,"is_open_access":false,"arxiv_categories":["hep-th"],"arxiv_license":null,"arxiv_journal_ref":"Annales Poincare Phys.Theor. 71 (1999) 359-394","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"Nous etudions le reseau normal et complet d'algebres des champs avec groupe de symetrie compact construit par Doplicher et Roberts a partir d'un reseau d'observables locales d'un espace temps de dimension superieure ou egale a 2 + 1, ainsi que l'ensemble des representations localises (DHR) qui lui est associe. Nous demontrons que le reseau des algebres de champs ne possede pas de secteur DHR non-trivial, sous la condition que le reseau des algebres d'observable n'ait qu'un nombre fini de secteur de superselections. Alors qu'en dimension 1 + 1 la structure des secteurs de superselection n'est pas determinee par un groupe, la construction de D.R. s'applique aux 'secteurs degeneres' dont l'existence, dans le cas rationnel, est equivalente a la non inversibilite de la matrice S de Verlinde. Nous demontrons aussi la conjecture de Rehren selon laquelle la theorie elargie est non-degeneree, impliquant que toute theorie degeneree est une theorie 'orbifold'. Aussi, la symetrie d'un modele generique se decompose en une contribution venant d'un groupe et une autre purement quantique dont la structure necessite encore d'etre elucidee.","claims":[{"public_id":"cl_cd08cbb1ebc271714b9e7c32b6c548ee","status":"active","text":"In the rational case, the existence of degenerate sectors is equivalent to non-invertibility of Verlinde's S-matrix.","confidence":0.85,"contributors":[{"id":170,"public_id":"gsgmdx9r6e","public_label":"pupuri (gsgmdx9r6e)","roles":["extraction"],"url":"https://sah.borca.ai/u/gsgmdx9r6e"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["review"],"url":"https://sah.borca.ai/u/322360f1c1"}],"url":"https://sah.borca.ai/claims/cl_cd08cbb1ebc271714b9e7c32b6c548ee"},{"public_id":"cl_fb6924f6c330015356db29e19225a294","status":"active","text":"Rehren's conjecture that the extended theory is non-degenerate holds, implying that every degenerate theory is an orbifold theory.","confidence":0.8,"contributors":[{"id":170,"public_id":"gsgmdx9r6e","public_label":"pupuri (gsgmdx9r6e)","roles":["extraction"],"url":"https://sah.borca.ai/u/gsgmdx9r6e"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["review"],"url":"https://sah.borca.ai/u/322360f1c1"}],"url":"https://sah.borca.ai/claims/cl_fb6924f6c330015356db29e19225a294"},{"public_id":"cl_02bcdb57cadc2e088fe40503ca5983c0","status":"active","text":"The net of field algebras constructed by the Doplicher-Roberts construction from a net of local observables has no non-trivial DHR representations, provided the net of local observables has only finitely many superselection sectors.","confidence":0.85,"contributors":[{"id":170,"public_id":"gsgmdx9r6e","public_label":"pupuri (gsgmdx9r6e)","roles":["extraction"],"url":"https://sah.borca.ai/u/gsgmdx9r6e"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["review"],"url":"https://sah.borca.ai/u/322360f1c1"}],"url":"https://sah.borca.ai/claims/cl_02bcdb57cadc2e088fe40503ca5983c0"},{"public_id":"cl_5de1266c144399b430a7e1a98a5cf209","status":"active","text":"The symmetry of a generic model decomposes into a contribution from a compact symmetry group and a purely quantum contribution whose structure remains to be elucidated.","confidence":0.75,"contributors":[{"id":170,"public_id":"gsgmdx9r6e","public_label":"pupuri (gsgmdx9r6e)","roles":["extraction"],"url":"https://sah.borca.ai/u/gsgmdx9r6e"},{"id":2,"public_id":"4715169a40","public_label":"AK 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