Some Computations with Seiberg-Witten Invariant Actions

TL;DR

This paper demonstrates that the low energy effective action for a single D-brane remains compatible with T-duality when extended to non-abelian U(N) actions, using a 2D example and Seiberg-Witten transformations.

Contribution

It shows the form-invariance of non-abelian Seiberg-Witten transformations ensures T-duality compatibility in D-brane effective actions.

Findings

Compatibility of D-brane actions with T-duality confirmed

Non-abelian Seiberg-Witten transformations preserve action form

Illustration with a 2D example

Abstract

We show, with a 2-dimensional example, that the low energy effective action which describes the physics of a single D-brane is compatible with T-duality whenever the corresponding U(N) non-abelian action is form-invariant under the non-commutative Seiberg-Witten transformations.