### Abstract

In this paper we calculate the spectrum of Neumann matrix with zero modes in the presence of the constant B-field in Witten's cubic string field theory. We find both the continuous spectrum inside [-1/3, 0) and the constraint on the existence of the discrete spectrum. For generic θ, -1/3 is not in the discrete spectrum but in the continuous spectrum. For each eigenvalue in the continuous spectrum there are four twist-definite degenerate eigenvectors except for -1/3 at which the degeneracy is two. However, for each twist-definite eigenvector the twist parity is opposite among the two spacetime components. Based upon the result at -1/3 we prove that the ratio of brane tension to be one as expected. Furthermore, we discuss the factorization of star algebra in the presence of B-field under the zero-slope limit and comment on the implications of our results to the recent proposed map of Witten's star to Moyal's star.

Original language | English |
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Pages (from-to) | 199-218 |

Number of pages | 20 |

Journal | Nuclear Physics B |

Volume | 637 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - 2002 Aug 19 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*637*(1-3), 199-218. https://doi.org/10.1016/S0550-3213(02)00467-4