We study the world volume action of fractional Dp-branes of type IIA string theory compactified on the orbifold T 4 /Z 2 . The geometric relation between these branes and wrapped branes is investigated using conformal techniques. In particular we examine in detail various scattering amplitudes and find that the leading low-energy interactions are consistent with the boundary action derived geometrically.
We compute off-shell three-and four-tachyon amplitudes at tree level by using a prescription based on the requirement of projective invariance. In particular we show that the off-shell four tachyon amplitude can be put in the same form as the corresponding on-shell one, exhibiting therefore the same analyticity properties. This is shown both for the bosonic and for the fermionic string. The result obtained in the latter case can be extended to the off-shell four-tachyon amplitude in type 0 theory.
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