Abstract :
We introduce a calculus of the Lie algebra valued functions present in Tseytlinʹs proposal for the nonabelian DBI action, and apply it to show that the recently found dyonic instanton is a solution of the full nonabelian DBI action. The geometry of this solution exhibits a new effect of “blowing-up” of the brane, which was not present in the case of the brane realisation of monopoles. We interpret this solution as the superposition of the D0-brane and fundamental string F1 which connects two separated D4-branes. Both F1 and D0 are delocalised in the “blown-up” region between two separated D4-branes.