Noncommutative homotopy algebras associated with open strings
Kajiura, Hiroshige
arXiv, 0306332 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-06-23
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics,  18G55,  81T18,  81T30 
@article{0306332,
     author = {Kajiura, Hiroshige},
     title = {Noncommutative homotopy algebras associated with open strings},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306332}
}

Kajiura, Hiroshige. Noncommutative homotopy algebras associated with open strings. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306332/