English

More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA

High Energy Physics - Theory 2014-10-31 v2 Mathematical Physics math.MP

Abstract

We obtain the closed form of the correlation function of one current and four spin operators (with different chiralities ) in type IIA superstring theory. The complete form of the S-matrix of one gauge , two fermions (with different chiralities) and one closed string Ramond-Ramond for all order α\alpha' type IIA has been explored. Moreover, we make use of a different gauge fixing to be able to find out all the closed forms of <VCVAVψˉVψ><V_{C} V_{A}V_{\bar\psi}V_{\psi} > correlators. An infinite number of t,st,s-channel fermion poles of this S-matrix in the field theory of IIA is generated. Unlike the the closed form of the correlators of the same amplitude of IIB, for various p,np,n cases in type IIA we do have different double poles in t,(t+s+u)t,(t+s+u) and in s,(t+s+u)s,(t+s+u) channels and we produced them. We also find new Wess-Zumino couplings of IIA with their third order α\alpha' corrections as well as a new form of higher derivative corrections (with different coefficient from its IIB one ) to SYM couplings at third order of α\alpha' . Using them, we are able to produce a (t+s+u)(t+s+u) channel scalar pole of the <VCVAVψˉVψ><V_{C} V_{A}V_{\bar\psi}V_{\psi} > amplitude for p+2=np+2=n case. Finally we make some comments on α\alpha' corrections to IIA Superstring theory.

Keywords

Cite

@article{arxiv.1403.7167,
  title  = {More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA},
  author = {Ehsan Hatefi},
  journal= {arXiv preprint arXiv:1403.7167},
  year   = {2014}
}

Comments

28 pages, no figure,Latex file and published version in EPJC