Star Spectroscopy in the Constant B field Background
arXiv:hep-th/0203204 · doi:10.1016/S0550-3213(02)00467-4
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 and the constraint on the existence of the discrete spectrum. For generic , -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 eigenvector 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 zero-slope limit and comment on the implications of our results to the recent proposed map of Witten's star to Moyal's star.
Latex file, 19 pages, no figure; revised version, several typos corrected, add an appendix on ratio calculation, more comments on star algebra;3rd version, more typos corrected
References in corpus (6)
Cited by in corpus (11)
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- D-branes as GMS Solitons in Vacuum String Field Theory
- Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
- Time-localized projectors in String Field Theory with E-field
- Moyal Representation of the String Field Star Product in the Presence of a B-background