SYM, Chern–Simons, Wess–Zumino couplings and their higher derivative corrections in IIA superstring theory

Ehsan Hatefi

doi:10.1140/epjc/s10052-014-2949-5

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2014) 74: 2949
https://doi.org/10.1140/epjc/s10052-014-2949-5

Regular Article - Theoretical Physics

SYM, Chern–Simons, Wess–Zumino couplings and their higher derivative corrections in IIA superstring theory

Ehsan Hatefi^*

International Centre for Theoretical Physics, Strada Costiera 11, Trieste, Italy

^* e-mail: ehatefi@ictp.it

Received: 14 May 2014
Accepted: 18 June 2014
Published online: 19 July 2014

Abstract

We find the entire form of the amplitude of two fermion strings (with different chiralities), 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 a new form of the higher derivative corrections to two fermion-two scalar couplings and show that the first simple $$(s+t+u)$$ -channel scalar pole for the $$p+2=n$$ case can be obtained by having new higher derivative corrections to Supersymmetric Yang–Mills (SYM) couplings at third order of $\alpha '$ . We find that the general structure and the coefficients of the higher derivative corrections to two fermion-two scalar couplings are completely different from the derived $\alpha '$ higher derivative corrections of type IIB.