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At the tree level, the scattering processes involving open and closed stringsare described by a disk world-sheet with vertex operator insertions at theboundary and in the bulk. Such amplitudes can be decomposed as certain linearcombinations of pure open string amplitudes. While previous relations have beenestablished on the double cover (complex sphere) in this letter we derive themon the disk (upper complex half plane) allowing for different momenta of theleft- and right-movers of the closed string. Formally, the computation of diskamplitudes involving both open and closed strings is reduced to considering themonodromies on the underlying string world-sheet.

Disk Scattering of Open and Closed Strings (I)