{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T08:31:19Z","timestamp":1790929879707,"version":"4.1.0"},"reference-count":16,"publisher":"American Physical Society (APS)","issue":"23","license":[{"start":{"date-parts":[[2025,6,9]],"date-time":"2025-06-09T00:00:00Z","timestamp":1749427200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"},{"start":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T00:00:00Z","timestamp":1780963200000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-accepted-manuscript-license"}],"funder":[{"DOI":"10.13039\/100006151","name":"Basic Energy Sciences","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006151","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100013055","name":"Division of Materials Sciences and Engineering","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100013055","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-SC0012704"],"award-info":[{"award-number":["DE-SC0012704"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMR-2335905"],"award-info":[{"award-number":["DMR-2335905"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DE-FG02-99ER45790"],"award-info":[{"award-number":["DE-FG02-99ER45790"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2025,5,12]]},"DOI":"10.1103\/nf4j-kbtj","type":"journal-article","created":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T17:30:56Z","timestamp":1747071056000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Dual View of the\n \n \n \n \n Z<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n -Gauged XY Model in 3D"],"prefix":"10.1103","volume":"134","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6546-5245","authenticated-orcid":true,"given":"Piers","family":"Coleman","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05vt9qd57","id-type":"ROR","asserted-by":"publisher"}],"name":"Rutgers University"},{"id":[{"id":"https:\/\/ror.org\/04g2vpn86","id-type":"ROR","asserted-by":"publisher"}],"name":"Royal Holloway, University of London"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5167-4537","authenticated-orcid":true,"given":"Anatoly","family":"Kuklov","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02p179j44","id-type":"ROR","asserted-by":"publisher"}],"name":"CSI"},{"id":[{"id":"https:\/\/ror.org\/00awd9g61","id-type":"ROR","asserted-by":"publisher"}],"name":"the Graduate Center of CUNY"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexei","family":"Tsvelik","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02ex6cf31","id-type":"ROR","asserted-by":"publisher"}],"name":"Brookhaven National Laboratory"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,6,9]]},"reference":[{"key":"nf4j-kbtjCc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.1650","type":"journal-article"},{"key":"nf4j-kbtjCc2R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.52.1778","type":"journal-article"},{"key":"nf4j-kbtjCc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.63.134521","type":"journal-article"},{"key":"nf4j-kbtjCc4R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6633\/aae110","type":"journal-article"},{"key":"nf4j-kbtjCc5R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.125144","type":"journal-article"},{"key":"nf4j-kbtjCc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.129.177601","type":"journal-article"},{"key":"nf4j-kbtjCc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.65.054508","type":"journal-article"},{"key":"nf4j-kbtjCc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.109.235121","type":"journal-article"},{"key":"nf4j-kbtjCc9R1","doi-asserted-by":"crossref","DOI":"10.1017\/9781009212717","type":"book","volume-title":"Quantum Phases of Matter","author":"Subir Sachdev","year":"2023"},{"key":"nf4j-kbtjCc10R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/nf4j-kbtj for here we illustrate the vison-vortex argument, present the dual formulation based on the Villain approximation, describe details of the algorithm and the nature of the configurations.","type":"other"},{"key":"nf4j-kbtjCc11R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.160601","type":"journal-article"},{"key":"nf4j-kbtjCc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.11.2098","type":"journal-article"},{"key":"nf4j-kbtjCc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.30.2555","type":"journal-article"},{"key":"nf4j-kbtjCc14R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.63.214503","type":"journal-article"},{"key":"nf4j-kbtjCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.100.064525","type":"journal-article"},{"key":"nf4j-kbtjCc16R1","unstructured":"Pierce Coleman, Anatoly Kuklov, and Alexei Tsvelik, CUNY depository (2025), https:\/\/academicworks.cuny.edu\/si_pubs\/350\/.","type":"dataset"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/accepted\/10.1103\/nf4j-kbtj","content-type":"application\/pdf","content-version":"am","intended-application":"unspecified"},{"URL":"https:\/\/link.aps.org\/article\/10.1103\/nf4j-kbtj","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/nf4j-kbtj\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T20:17:06Z","timestamp":1790713026000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/nf4j-kbtj"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,9]]},"references-count":16,"journal-issue":{"issue":"23","published-print":{"date-parts":[[2025,6]]}},"URL":"https:\/\/doi.org\/10.1103\/nf4j-kbtj","relation":{},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,9]]},"assertion":[{"value":"2025-02-20","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a9 2025 American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"236001"}}