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Abstract
Abstract Motivated by arXiv:1203.5553, we continue to match super string amplitudes with their own effective field theory. We carry out within full details the computations of the complete form of the amplitude of one closed string Ramond-Ramond field and three SYM vertex operators, namely one gauge field and two scalar fields in type IIB(A) super string theories. Making use of the recent two gauge and two scalar couplings to all orders of α′, we produce all the infinite gauge poles for p = n case (with n as RR field strength’s rank and p as the dimension of a D p -brane). Proceeding with direct and full S-Matrix calculations, we are able to produce even all the infinite gauge poles in u-channel for p − 2 = n case in field theory as well. New couplings for p − 2 = n case with their all order α′ corrections are discovered. In addition, we explain how to find out all the infinite scalar poles of this amplitude in s, t-channels and produce them for p + 2 = n case. By comparing all of the contact terms of this amplitude, we obtain several new couplings with their higher derivative corrections for p + 2 = n, p = n cases. These new couplings are neither inside Myers’terms nor within pull-back/Taylor expansions. Finally we comment on some related issues.
Highlights
Obtaining the closed form of all corrections is scattering computations
To discover the higher derivative corrections for stable branes, namely four field strengths’ corrections to all orders in α′ [15] must be taken into account, there we have shown that to α′4 order computations are consistent with literature [26,27,28]
First of all by applying conformal field theory methods we discovered the complete result of the amplitude of one Ramond-Ramond, one gauge field and two scalar fields for all kinds of p and n in II string theory
Summary
Obtaining the closed form of all corrections is scattering computations. To have all corrections, recent attempts in detail have been carried out. By comparing direct result of string amplitude, we are going to discover new Wess-Zumino couplings for n = p − 2 case at leading order and generalize them to construct all their higher order corrections as well.
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