On the gauge invariance and coordinate transformations of non-abelian D-brane actions -: art. no. 022

We study the variations of the worldvolume fields in the non-abelian action for multiple D-branes. Using T-duality we find that the embedding scalars transform non-trivially under NS-NS gauge transformations as delta X similar to [ X, X] and prove that the non-abelian Chern-Simons action is invariant under these transformations. Given that T-duality relates the (part of the) NS-NS transformation with (part of the) general coordinate transformations, we can get some insight in the structure of non-abelian coordinate transformations.