More on closed string induced higher derivative interactions on D-branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages

Scientific paper

In our continued efforts of matching full string computations with the corresponding effective field theory computations, we evaluate string theory correlators in closed forms. In particular, we consider a correlator between three SYM vertex operators and one Ramond-Ramond $C$-field vertex operator: $$. We show that the infinite massless poles of this amplitude can be reproduced by the Born-Infeld action, the Wess-Zumino terms, and their higher derivative corrections. More specifically we find, up to an on-shell ambiguity, two scalar field and two gauge field couplings to all orders in $\alpha'$ such that the infinite massless poles of the field theory amplitude exactly match the infinite massless poles of S-matrix elements of $$. We comment on close intertwinedness of an open string and a closed string that must be behind the matching.

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