Non-commutative Space And Chan-Paton Algebra In Open String Field Algebra

Abstract

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.

v1: 28pages, latex v2: few explanations added, minor corrections, ref added, 29pages, accepted for publication in Nucl. Phys. B

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Cited by in corpus (4)

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• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• Tachyon Vacuum Solution in Open String Field Theory with Constant B Field
• Chan-Paton factors and Higgsing from Vacuum String Field Theory