The non-abelian D-brane effective action through order $\alpha'{}^4$

TL;DR

This paper derives the bosonic part of the non-abelian D-brane effective action up to order '{}^4 by enforcing BPS solutions, and introduces an organizational principle for the action.

Contribution

It provides the explicit form of the non-abelian D-brane effective action up to '{}^4 and proposes a new organizational principle for its structure.

Findings

Effective action determined up to order '{}^4

Organizational principle for the effective action proposed

Ensures existence of specific BPS solutions

Abstract

Requiring the existence of certain BPS solutions to the equations of motion, we determine the bosonic part of the non-abelian D-brane effective action through order $\alpha'{}^4$. We also propose an economic organizational principle for the effective action.