2007年2月
Noncommutative homotopy algebras associated with open strings
REVIEWS IN MATHEMATICAL PHYSICS
- 巻
- 19
- 号
- 1
- 開始ページ
- 1
- 終了ページ
- 99
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1142/S0129055X07002912
- 出版者・発行元
- WORLD SCIENTIFIC PUBL CO PTE LTD
We discuss general properties of A(infinity)-algebras and their applications to the theory of open strings. The properties of cyclicity for A(infinity)-algebras are examined in detail. We prove the decomposition theorem, which is a stronger version of the minimal model theorem, for A(infinity)-algebras and cyclic A(infinity)-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(infinity)-isomorphic to each other. The same results hold for classical closed string field theories, whose algebraic structure is governed by cyclic L-infinity-algebras.
- リンク情報
-
- DOI
- https://doi.org/10.1142/S0129055X07002912
- arXiv
- http://arxiv.org/abs/math/0306332
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000250865400001&DestApp=WOS_CPL
- URL
- http://arxiv.org/abs/math/0306332v2
- URL
- http://arxiv.org/pdf/math/0306332v2 本文へのリンクあり
- ID情報
-
- DOI : 10.1142/S0129055X07002912
- ISSN : 0129-055X
- eISSN : 1793-6659
- arXiv ID : math/0306332
- Web of Science ID : WOS:000250865400001