Non-commutative space and Chan-Paton algebra in open string field algebra. (English) Zbl 0997.81085
Summary: There are several equivalent descriptions for constant \(B\)-field background of open string. The background can be interpreted as constant \(B\)-field as well as constant gauge field strength or infinitely many D-branes with non-commuting Chan-Paton matrices. In this article, the equivalence of these open string theories is studied in Witten’s cubic open string field theory. Through the map between these equivalent descriptions, both algebra of non-commutative coordinates as well as Chan-Paton matrix algebra are identified with subalgebras of open string field algebra.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T75 | Noncommutative geometry methods in quantum field theory |
Keywords:
constant \(B\)-field background; non-commutative coordinate algebra; Chan-Paton matrix algebraReferences:
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