5-field terms in the open superstring effective action

TL;DR

This paper derives the complete bosonic 5-field terms in the non-abelian open superstring effective action to all orders in , extending previous 4-field results by analyzing the 5-point amplitude.

Contribution

It provides the first all-order  expression for bosonic 5-field terms in the non-abelian open superstring effective action.

Findings

Derived all-order  bosonic 5-field terms

Extended previous 4-field effective action results

Utilized simplified superstring 5-point amplitude expression

Abstract

Some time ago the bosonic and fermionic 4-field terms of the non-abelian low energy effective action of the open superstring were obtained, to all order in $\alpha'$. This was done at tree level by directly generalizing the abelian case, treated some time before, and considering the known expressions of all massless superstring 4-point amplitudes (at tree level). In the present work we obtain the bosonic 5-field terms of this effective action, to all order in $\alpha'$. This is done by considering the simplified expression of the superstring 5-point amplitude for massless bosons, obtained some time ago.