Dp-brane Tension from Tachyons and B-field in Vacuum String Field Theory
  We consider tachyonic string-field fluctuations about a Dp-brane background in the geometrical (CFT) formulation of Vacuum String Field Theory. We then extend this analysis to the case of a background B-field. We find that the standard results for D-brane tension are reproduced in both cases. 
P. Matlock, R.C. Rashkov, K.S. Viswanathan and Y. Yang