$(\alpha')^4$ corrections to the N=2 supersymmetric Born-Infeld action

TL;DR

This paper analyzes the one-loop divergences of the N=2 supersymmetric Born-Infeld action in N=1 superspace, revealing non-renormalizability with non-constant curvature and aligning the $(eta')^4$ counterterm structure with superstring theory predictions.

Contribution

It computes the one-loop divergences and identifies the structure of the $(eta')^4$ counterterm, connecting field theory results with superstring effective actions.

Findings

The theory is not renormalizable with non-constant curvature.

The $(eta')^4$ counterterm matches superstring theory calculations.

The structure involves derivatives of the curvature.

Abstract

We consider the N=2 supersymmetric Born-Infeld action and compute one-loop divergences quantizing the theory in N=1 superspace. We find that in the presence of non constant curvature the theory is not renormalizable. The structure of the $(\alpha')^4$ counterterm, proportional to derivatives of the curvature, is consistent with effective action calculations from superstring theory.