TY - JOUR

T1 - Star spectroscopy in the constant B-field background

AU - Chen, Bin

AU - Lin, Feng Li

N1 - Funding Information:
B.C. would like to thank ITP, Chinese Academy of Science for the hospitality during his visit. F.L.L. would like to thank Pei-Ming Ho and Sanefumi Moriyama for helpful discussions, Hsien-Chung Kao for his kind support, and the courtesy of the CTP at NTU, the NCTS, and the CosPA project, Taiwan, he was supported by the NSC grant No. NSC89-2112-M-032-002.

PY - 2002/8/19

Y1 - 2002/8/19

N2 - 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.

AB - 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.

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U2 - 10.1016/S0550-3213(02)00467-4

DO - 10.1016/S0550-3213(02)00467-4

M3 - Article

AN - SCOPUS:0037136077

SN - 0550-3213

VL - 637

SP - 199

EP - 218

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-3

ER -