{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360869856046501760.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/jhep02(2025)070"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1007/JHEP02(2025)070.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1007/JHEP02(2025)070/fulltext.html"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Fermionic and parafermionic CFTs with $$ \\hat{su}(2) $$ and $$ \\hat{su}(3) $$ symmetry"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>A<jats:sc>bstract</jats:sc>\n          </jats:title>\n          <jats:p>We investigate two-dimensional conformal field theories (CFTs) with affine <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$ \\hat{su}(2) $$</jats:tex-math>\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                  <mml:mover>\n                    <mml:mi>su</mml:mi>\n                    <mml:mo>̂</mml:mo>\n                  </mml:mover>\n                  <mml:mfenced>\n                    <mml:mn>2</mml:mn>\n                  </mml:mfenced>\n                </mml:math>\n              </jats:alternatives>\n            </jats:inline-formula> and <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$ \\hat{su}(3) $$</jats:tex-math>\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                  <mml:mover>\n                    <mml:mi>su</mml:mi>\n                    <mml:mo>̂</mml:mo>\n                  </mml:mover>\n                  <mml:mfenced>\n                    <mml:mn>3</mml:mn>\n                  </mml:mfenced>\n                </mml:math>\n              </jats:alternatives>\n            </jats:inline-formula> algebra symmetry. Their bosonic modular-invariant partition functions have been fully classified based on the ADE classification. In this work, we extend the classification to include fermionic and parafermionic CFTs with the same affine symmetries, utilizing techniques of fermionization and parafermionization. We find that the fermionic and parafermionic <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$ \\hat{su}(2) $$</jats:tex-math>\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                  <mml:mover>\n                    <mml:mi>su</mml:mi>\n                    <mml:mo>̂</mml:mo>\n                  </mml:mover>\n                  <mml:mfenced>\n                    <mml:mn>2</mml:mn>\n                  </mml:mfenced>\n                </mml:math>\n              </jats:alternatives>\n            </jats:inline-formula> models are related to non-simply laced Dynkin diagrams.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380869856046501780","@type":"Researcher","foaf:name":[{"@value":"Kohki Kawabata"}],"jpcoar:affiliationName":[{"@value":"The University of Tokyo"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"10298479"}],"prism:publicationName":[{"@value":"Journal of High 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LLC"}],"prism:publicationDate":"2025-02-12","prism:volume":"2025","prism:number":"2"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["https://creativecommons.org/licenses/by/4.0","https://creativecommons.org/licenses/by/4.0"],"url":[{"@id":"https://link.springer.com/content/pdf/10.1007/JHEP02(2025)070.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP02(2025)070/fulltext.html"}],"createdAt":"2025-02-13","modifiedAt":"2025-10-13","project":[{"@id":"https://cir.nii.ac.jp/crid/1040295956266057600","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"23KJ0436"},{"@type":"JGN","@value":"JP23KJ0436"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23KJ0436/"}],"notation":[{"@language":"ja","@value":"量子エンタングルメントを用いた量子物質のダイナミクスの研究"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360009142465553408","@type":"Article","resourceType":"学術雑誌論文(journal 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