On non-abelian low energy effective action for D-branes

TL;DR

This paper explores the connection between the 2D sigma model partition function with boundary perturbations and the low energy effective action for non-abelian D-branes, deriving terms up to order '^3.

Contribution

It provides the explicit form of the non-abelian low energy effective action for a stack of D-branes up to '^3 order, advancing understanding of string theory effective actions.

Findings

Derived the non-abelian effective action up to '^3 order.

Connected sigma model partition function with D-brane effective action.

Extended previous abelian results to non-abelian case.

Abstract

Connection between the partition function for the 2D sigma model with boundary pertubations and the low energy effective action for massless fields from in the open string theory is discussed. In the non-abelian case with a stack of $N$ D-branes, the terms up to the order of $\alpha'^3$ are found