On RR Couplings, Singularity Structures and all order $α'$ contact interactions to BPS String Amplitudes

We evaluate five point world-sheet string theory amplitudes of one transverse scalar field, two world volume gauge fields ( and two transverse scalars, a gauge field) in the presence of a closed string Ramond-Ramond vertex operator in its symmetric picture. We carry out all the entire S-matrix elements of five point mixed RR-scalars/gauge fields $<C^{-1}ϕ^{0}A^{-1} A^{0}>$, $<C^{-1}ϕ^{-1}A^{0} A^{0}>$, $<C^{-1}A^{0}ϕ^{-1}ϕ^{0}>$ and $<C^{-1}A^{-1}ϕ^{0}ϕ^{0}>$ in detail and start comparing all order $α'$ contact interactions and singularities in both transverse and world volume directions. We explore the presence of various new couplings in string theory effective actions and find out their all order $α'$ higher derivative corrections in both type IIA and IIB. Ultimately we make various remarks for the singularities and contact terms whose RR momenta are embedded in transverse directions. $α'$ corrections to some of Myers terms are also addressed.

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