Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-21
Nucl.Phys. B637 (2002) 199-218
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 19 pages, no figure; revised version, several typos corrected, add an appendix on ratio calculation, more comments
Scientific paper
10.1016/S0550-3213(02)00467-4
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 $[{-1\over3}, 0)$ and the constraint on the existence of the discrete spectrum. For generic $\theta$, -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.
Chen Bin
Lin Feng-Li
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