SuperYang-Mills, Chern-Simons couplings and their all order ${\alpha }^{\prime }$ corrections in IIB superstring theory

Abstract

We explore the closed form of the correlation function of four spin operators (including one closed string Ramond-Ramond (RR) and two open string fermions) and one current in ten dimensions, to be able to find the complete and the closed form of the amplitude of one closed string Ramond-Ramond, one gauge field and two fermionic strings (with the same chirality) to all orders in ${\alpha }^{\prime }$ in IIB superstring theory. In particular we use a special gauge fixing to the amplitude and apply fermions' equations of motion to $<V_C{V}_A{V}_{\bar{\psi }}{V}_{\psi }>$ correlator. String amplitude induced that neither there should be any $u-$channel gauge poles for $p=n+2$ case nor there are couplings between two fermions and two gauge fields for $p=n$ case in the field theory of type IIB. All infinite $u-$ channel scalar poles and $t,s-$channel fermion poles of the string amplitude are useful in discovering new couplings of type IIB. More specifically, by making use of the SYM couplings of one scalar, one gauge and two fermions and their all order ${\alpha }^{\prime }$ higher derivative corrections, we are able to exactly produce all infinite $(s+t+u)-$ channel scalar poles of $<V_C{V}_A{V}_{\bar{\psi }}{V}_{\psi }>$ .

25 pages, no figure,Latex file,v3: one reference is added. To appear in EPJC

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Cited by in corpus (14)

• On RR Couplings and Bulk Singularity Structures of Non-BPS Branes
• More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
• On D-brane-Anti D-brane Effective actions and their all order Bulk Singularity Structures
• On Bulk Singularity Structures and all order ${\alpha }^{\prime }$ Contact Terms of BPS String Amplitudes
• On RR Couplings, Singularity Structures and all order ${\alpha }^{\prime }$ contact interactions to BPS String Amplitudes
• On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• On All-Order Higher-Point $\text{D}p$-$\overline{\text{D}p}$ Effective Actions
• 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