Supersymmetry, Spectrum and Fate of D0-Dp Systems with B-field

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Abstract
It has been shown that D0-Dp (p=2, 4, 6, 8) systems can be BPS in the presence of B-field even if they are not without B-field. We discuss the number of remaining supersymmetry for these systems and examine ground state spectrum in the string picture. We then construct the D0-Dp systems as solitonic solutions in the noncommutative super Yang-Mills theory and derive the complete mass spectrum of the fluctuations to discuss the stability of the systems. The results are found to agree with the analysis in the string picture. In particular, we show that supersymmetry is enhanced in D0-D8 depending on the B-fields and it is consistent with the degeneracy of mass spectrum. We also derive potentials and discuss their implications for these systems.

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