### 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.

Original language | English |
---|---|

Pages (from-to) | 145-170 |

Number of pages | 26 |

Journal | Nuclear Physics B |

Volume | 640 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 23-09-2002 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

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*Nuclear Physics B*, vol. 640, no. 1-2, pp. 145-170. https://doi.org/10.1016/S0550-3213(02)00486-8

**Non-commutative space and Chan-Paton algebra in open field algebra.** / Furuuchi, Kazuyuki.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Non-commutative space and Chan-Paton algebra in open field algebra

AU - Furuuchi, Kazuyuki

PY - 2002/9/23

Y1 - 2002/9/23

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037163502&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037163502&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(02)00486-8

DO - 10.1016/S0550-3213(02)00486-8

M3 - Article

VL - 640

SP - 145

EP - 170

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -