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

TL;DR

This paper matches string theory correlators involving D-branes and Ramond-Ramond fields with effective field theory, deriving all-order higher derivative couplings that reproduce infinite massless poles.

Contribution

It provides explicit all-order higher derivative couplings for scalar and gauge fields on D-branes that match string amplitude poles, extending previous effective field theory descriptions.

Findings

Infinite massless poles are reproduced by the combined Born-Infeld and Wess-Zumino actions.

Derived all-order couplings match string amplitude poles exactly.

Highlights the deep connection between open and closed string interactions.

Abstract

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: $<V_{C}V_{\phi} V_AV_A>$. We show that the infinite number of 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 number of massless poles of the field theory amplitude exactly match the infinite number of massless poles of S-matrix elements of $<V_{C}V_{\phi} V_AV_A>$. We comment on close intertwinedness of an open string and a closed string that must be behind the matching.