The effective action for the 4-point functions in abelian open superstring theory

TL;DR

This paper derives all-order derivative corrections to four-point functions in abelian open superstring theory, revealing an infinite set of supersymmetry invariants with linearly growing complexity.

Contribution

It provides a systematic construction of derivative corrections to four-point vertices in the abelian open string effective action to all orders in alpha', ensuring supersymmetry.

Findings

All-order derivative corrections are explicitly constructed.

An infinite number of supersymmetry invariants are identified.

Number of invariants at order alpha'^n grows linearly with n.

Abstract

We construct the derivative corrections to the four-point vertices in the abelian open string effective action to all orders in alpha'. The result is based on the structure of the string four-point function. Supersymmnetry of these vertices is guaranteed by the supersymmetry of the F^4 term in the effective action. By this construction we establish the existence of an infinite number of supersymmetry invariants, the number of invariants at order alpha'^n grows linearly with n.