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• W3105263208 abstract "We discuss general properties of $A_infty$-algebras and their applications to the theory of open strings. The properties of cyclicity for $A_infty$-algebras are examined in detail. We prove the decomposition theorem, which is a stronger version of the minimal model theorem, for $A_infty$-algebras and cyclic $A_infty$-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 $A_infty$-isomorphic to each other. The same results hold for classical closed string field theories, whose algebraic structure is governed by cyclic $L_infty$-algebras." @default.
• W3105263208 created "2020-11-23" @default.
• W3105263208 creator A5039946059 @default.
• W3105263208 date "2007-02-01" @default.
• W3105263208 modified "2023-09-23" @default.
• W3105263208 title "NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS" @default.
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• W3105263208 doi "https://doi.org/10.1142/s0129055x07002912" @default.
• W3105263208 hasPublicationYear "2007" @default.
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