Abstract
We find the entire form of the amplitude of two fermion strings (with different chirality), a massless scalar field and one closed string Ramond-Ramond (RR) in IIA superstring theory which is different from its IIB one. We make use of a very particular gauge fixing and explore several new couplings in IIA. All infinite $u$- channel scalar poles and $t,s$- channel fermion poles are also constructed. We find new form of higher derivative corrections to two fermion two scalar couplings and show that the first simple $(s+t+u)-$ channel scalar pole for $p+2=n$ case can be obtained by having new higher derivative corrections to SYM couplings at third order of $\alpha'$. We find that the general structure and the coefficients of higher derivative corrections to two fermion two scalar couplings are completely different from the derived $\alpha'$ higher derivative corrections of type IIB.
Highlights
Dp-branes are the fundamental objects in superstring theory [1,2,3,4]
The aim of this paper is to show that the S-matrix of the mixed closed/open string amplitudes of type IIA is entirely different from type IIB and several new couplings will come out from direct computations of conformal field theory techniques of type IIA
We have argued in [48] that in order to be sure that all the terms of the related S-matrix appear in its final form and to derive the correct form of the higher derivative α corrections with exact coefficients, we should carry out direct conformal field theory (CFT) computations at each level of the amplitude
Summary
Dp-branes (with p as the spatial dimension of a Dp-brane) are the fundamental objects in superstring theory [1,2,3,4]. Keeping in mind either the Myers terms or the new WZ actions [23,42,43,44,45,46], we are willing to find new couplings and in particular new higher derivative corrections of two fermions (with different chirality)-two scalars up to third order of α by producing the first simple (t + s + u)-channel scalar pole (just for p + 2 = n with n the index of RR field strength) of our S-matrix VC Vφ Vψ Vψ. We produce all u-channel scalar poles and t, s-channel fermion poles, and we make various comments (for further details see Appendix A and B of [25,42])
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