Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane

Abstract

From the world-sheet point of view we compute three, four and five point BPS and non-BPS scattering amplitudes of type IIA and IIB superstring theory. All these the mixed S-matrix elements including a closed string Ramond-Ramond (RR) in the bulk and a scalar/gauge or tachyons with their all different pictures ( including RR in asymmetric and symmetric pictures) have been carried out. We have also shown that in asymmetric pictures various equations must be kept fixed. More importantly, by direct calculations on upper half plane, it is realized that some of the equations (that must be true) for BPS branes can not be necessarily applied to non-BPS amplitudes. We also derive the S-Matrix elements of $<V_C^{-2}{V}_{\varphi }^0{V}_A^0{V}_T^0>$ and clarify the fact that in the presence of the scalar field and RR, the terms carrying momentum of RR in transverse directions play important role in the entire form of the S-matrix and their presence is needed in order to have gauge invariance for the entire S-matrix elements of type IIA (IIB) superstring theory.

37 pages,no figure, Latex file. V2:The logical ideas are clarified , the version is accepted in EPJC

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Cited by in corpus (12)

• On RR Couplings and Bulk Singularity Structures of Non-BPS Branes
• On D-brane-Anti D-brane Effective actions and their all order Bulk Singularity Structures
• On RR Couplings, Singularity Structures and all order ${\alpha }^{\prime }$ contact interactions to BPS String Amplitudes
• On Bulk Singularity Structures and all order ${\alpha }^{\prime }$ Contact Terms of BPS String Amplitudes
• On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• On All-Order Higher-Point $\text{D}p$-$\overline{\text{D}p}$ Effective Actions
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order ${\alpha }^{\prime }$ Corrections
• All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions
• On BPS World Volume, RR Couplings and their ${\alpha }^{\prime }$ Corrections in type IIB