Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime

TL;DR

This paper computes superstring scattering amplitudes involving Ramond-Ramond fields and SYM vertices, deriving all-order alpha-prime corrections and discovering new couplings beyond known Myers and pull-back terms.

Contribution

It provides the complete form of specific superstring amplitudes, including all-order alpha-prime corrections and identifies new couplings not previously known.

Findings

Derived all-order alpha-prime corrections for new couplings.

Produced infinite gauge and scalar poles in various channels.

Discovered new couplings outside traditional Myers and pull-back frameworks.

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 $\alpha'$, 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 $\alpha'$ 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.