{"@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/1362262945652199808.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1142/s0129055x07002912"}},{"identifier":{"@type":"URI","@value":"https://www.worldscientific.com/doi/pdf/10.1142/S0129055X07002912"}},{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.math/0306332"}}],"dc:title":[{"@value":"NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>We discuss general properties of A<jats:sub>∞</jats:sub>-algebras and their applications to the theory of open strings. The properties of cyclicity for A<jats:sub>∞</jats:sub>-algebras are examined in detail. We prove the decomposition theorem, which is a stronger version of the minimal model theorem, for A<jats:sub>∞</jats:sub>-algebras and cyclic A<jats:sub>∞</jats:sub>-algebras and discuss various consequences of it. In particular, it is applied to classical open string field theories and it is shown that all classical open string field theories on a fixed conformal background are cyclic A<jats:sub>∞</jats:sub>-isomorphic to each other. The same results hold for classical closed string field theories, whose algebraic structure is governed by cyclic L<jats:sub>∞</jats:sub>-algebras.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1382262945652199808","@type":"Researcher","foaf:name":[{"@value":"HIROSHIGE KAJIURA"}],"jpcoar:affiliationName":[{"@value":"Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"0129055X"},{"@type":"EISSN","@value":"17936659"}],"prism:publicationName":[{"@value":"Reviews in Mathematical Physics"}],"dc:publisher":[{"@value":"World Scientific Pub Co Pte Lt"}],"prism:publicationDate":"2007-02","prism:volume":"19","prism:number":"01","prism:startingPage":"1","prism:endingPage":"99"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","url":[{"@id":"https://www.worldscientific.com/doi/pdf/10.1142/S0129055X07002912"}],"createdAt":"2007-01-25","modifiedAt":"2021-08-08","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=High%20Energy%20Physics%20-%20Theory","dc:title":"High Energy Physics - 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