Derivative Corrections from Boundary State Computations

TL;DR

This paper uses boundary state formalism to verify derivative corrections to D-brane actions, confirming non-commutative predictions and deriving quadratic order corrections, advancing understanding of string theory effective actions.

Contribution

It applies boundary state computations to confirm and extend derivative corrections to D-brane actions, including all orders in derivatives and quadratic order in field strength.

Findings

Confirmed non-commutative predictions for derivative corrections

Derived quadratic order corrections to Dirac--Born--Infeld action

Applied boundary state formalism to all couplings in Chern--Simons action

Abstract

The boundary state formalism is used to confirm predictions from non-commutativity for the derivative corrections to the Dirac--Born--Infeld and Chern--Simons actions, at all orders in derivatives. As anticipated by S. Mukhi, the method applies by induction to every coupling in the Chern--Simons action. It is also used to derive the corrections to the Dirac--Born--Infeld action at quadratic order in the field strength.