{"created":"2023-06-19T11:40:56.852303+00:00","id":1200,"links":{},"metadata":{"_buckets":{"deposit":"552729eb-0c22-4eac-91c9-7f1f767ee36d"},"_deposit":{"created_by":14,"id":"1200","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"1200"},"status":"published"},"_oai":{"id":"oai:setsunan.repo.nii.ac.jp:00001200","sets":["196:197"]},"author_link":["2068","2069"],"item_10007_contributor_5":{"attribute_name":"研究分担者","attribute_value_mlt":[{"contributorNames":[{"contributorName":"高崎, 金久"}],"nameIdentifiers":[{},{}]}]},"item_10007_description_11":{"attribute_name":"研究機関","attribute_value_mlt":[{"subitem_description":"摂南大学","subitem_description_type":"Other"}]},"item_10007_description_13":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"ランダム平面分割は超対称ゲージ理論、グロモフ・ウィッテン理論、ミラー対称性との関連が見出され、数理物理の新たな研究対象になっている。ランダム平面分割の可積分構造と幾何構造について、量子トーラス対称性を用いて、その理解と応用を追及した。成果として、closed vertexの開弦振幅の厳密計算とその代数構造に関する研究を量子トーラス対称性を用いて進め、量子ミラー曲線がq-差分型Kac-Schwarz作用素として解釈できることを示した。また、位相的頂点を再現するランダム歪平面分割についての量子トーラスのシフト対称性を得た。それを用いて、ホッジ積分とランダム歪平面分割の関係を明らかした。 ","subitem_description_type":"Abstract"}]},"item_10007_description_9":{"attribute_name":"研究課題番号","attribute_value_mlt":[{"subitem_description":"15K04912","subitem_description_type":"Other"}]},"item_10007_link_24":{"attribute_name":"リンク","attribute_value_mlt":[{"subitem_link_url":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-15K04912/15K04912seika/"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ランダム歪平面分割","subitem_subject_scheme":"Other"},{"subitem_subject":"位相的頂点の理論","subitem_subject_scheme":"Other"},{"subitem_subject":"量子トーラス代数","subitem_subject_scheme":"Other"},{"subitem_subject":"位相的開弦振幅","subitem_subject_scheme":"Other"},{"subitem_subject":"量子リーマン曲線","subitem_subject_scheme":"Other"},{"subitem_subject":"q-差分方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"可積分階層","subitem_subject_scheme":"Other"},{"subitem_subject":"ランダム平面分割","subitem_subject_scheme":"Other"},{"subitem_subject":"位相的頂点","subitem_subject_scheme":"Other"},{"subitem_subject":"ｑ-差分方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"多成分KP階層","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_researcher":{"attribute_name":"研究代表者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"中津, 了勇"}],"nameIdentifiers":[{},{}]}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"ランダム平面分割と量子トーラス対称性","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ランダム平面分割と量子トーラス対称性"}]},"item_type_id":"10007","owner":"14","path":["197"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-07-04"},"publish_date":"2019-07-04","publish_status":"0","recid":"1200","relation_version_is_last":true,"title":["ランダム平面分割と量子トーラス対称性"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2023-06-19T11:56:37.736549+00:00"}