Universality in all-α′ order corrections to BPS/non-BPS brane world volume theories

Knowledge of all-α′ higher derivative corrections to leading order BPS and non-BPS brane actions would serve in future endeavor of determining the complete form of the non-abelian BPS and tachyonic effective actions. In this paper, we note that there is a universality in the all-α′ order corrections to BPS and non-BPS branes. We compute amplitudes between one Ramond-Ramond C-field vertex operator and several SYM gauge/scalar vertex operators. Specifically, we evaluate in closed form string correlators of two-point amplitudes ACϕ, ACA, a three-point amplitude ACϕϕ, and a four-point amplitude ACϕϕϕ. We carry out pole and contact term analysis. In particular we reproduce some of the contact terms and the infinite massless poles of ACϕϕϕ by SYM vertices obtained through the universality.