On the gauge invariance and coordinate transformations of non-Abelian D-brane actions

Abstract

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 δX ~ [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.

Latex, 13 pages

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Cited by in corpus (6)

• On Matrix Geometry and Effective Actions
• Action for the eleven dimensional multiple M-wave system
• Covariant action and equations of motion for the eleven dimensional multiple M0-brane system
• The group structure of non-Abelian NS-NS transformations
• Comparing two definitions for gauge variations of dielectric D-branes
• Multiple fundamental strings and waves to non-linear order in the background fields